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Finding the Fourth Proportional to 2,047.35, 3,071.02 and 508.35

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Solution

The fourth proportional to 2,047.35, 3,071.02 and 508.35 is: 762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.35 : 3,071.02 = 508.35 : x
  2. Step 2: Convert to fraction form
    2,047.35/3,071.02 = 508.35/x
  3. Step 3: Cross multiply
    2,047.35x = 3,071.02 × 508.35
  4. Step 4: Simplify right side
    2,047.35x = 1,561,147.89
  5. Step 5: Solve for x
    x = 1,561,147.89/2,047.35
  6. Step 6: Final answer
    x = 762.52

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Double scale
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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.