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Finding the Fourth Proportional to 7,102.77, 9,819.53 and 5,331.30

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Solution

The fourth proportional to 7,102.77, 9,819.53 and 5,331.30 is: 7,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.77 : 9,819.53 = 5,331.30 : x
  2. Step 2: Convert to fraction form
    7,102.77/9,819.53 = 5,331.30/x
  3. Step 3: Cross multiply
    7,102.77x = 9,819.53 × 5,331.30
  4. Step 4: Simplify right side
    7,102.77x = 52,350,860.29
  5. Step 5: Solve for x
    x = 52,350,860.29/7,102.77
  6. Step 6: Final answer
    x = 7,370.49

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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.