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Finding the Fourth Proportional to 2,984.55, 4,115.93 and 1,865.13

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Solution

The fourth proportional to 2,984.55, 4,115.93 and 1,865.13 is: 2,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.55 : 4,115.93 = 1,865.13 : x
  2. Step 2: Convert to fraction form
    2,984.55/4,115.93 = 1,865.13/x
  3. Step 3: Cross multiply
    2,984.55x = 4,115.93 × 1,865.13
  4. Step 4: Simplify right side
    2,984.55x = 7,676,735.20
  5. Step 5: Solve for x
    x = 7,676,735.20/2,984.55
  6. Step 6: Final answer
    x = 2,572.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.