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Finding the Fourth Proportional to 2,015.95, 3,023.16 and 783.20

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Solution

The fourth proportional to 2,015.95, 3,023.16 and 783.20 is: 1,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.95 : 3,023.16 = 783.20 : x
  2. Step 2: Convert to fraction form
    2,015.95/3,023.16 = 783.20/x
  3. Step 3: Cross multiply
    2,015.95x = 3,023.16 × 783.20
  4. Step 4: Simplify right side
    2,015.95x = 2,367,746.47
  5. Step 5: Solve for x
    x = 2,367,746.47/2,015.95
  6. Step 6: Final answer
    x = 1,174.51

Related Problems

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Double scale
Find fourth proportional to 2,016.95, 3,024.66 and 784.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.