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Finding the Fourth Proportional to 6,543.98, 9,028.65 and 3,711.13

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Solution

The fourth proportional to 6,543.98, 9,028.65 and 3,711.13 is: 5,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.98 : 9,028.65 = 3,711.13 : x
  2. Step 2: Convert to fraction form
    6,543.98/9,028.65 = 3,711.13/x
  3. Step 3: Cross multiply
    6,543.98x = 9,028.65 × 3,711.13
  4. Step 4: Simplify right side
    6,543.98x = 33,506,477.04
  5. Step 5: Solve for x
    x = 33,506,477.04/6,543.98
  6. Step 6: Final answer
    x = 5,120.20

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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.