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Finding the Fourth Proportional to 5,290.71, 7,301.10 and 2,932.80

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Solution

The fourth proportional to 5,290.71, 7,301.10 and 2,932.80 is: 4,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.71 : 7,301.10 = 2,932.80 : x
  2. Step 2: Convert to fraction form
    5,290.71/7,301.10 = 2,932.80/x
  3. Step 3: Cross multiply
    5,290.71x = 7,301.10 × 2,932.80
  4. Step 4: Simplify right side
    5,290.71x = 21,412,666.08
  5. Step 5: Solve for x
    x = 21,412,666.08/5,290.71
  6. Step 6: Final answer
    x = 4,047.22

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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.