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Finding the Fourth Proportional to 7,209.76, 9,948.72 and 4,065.40

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Solution

The fourth proportional to 7,209.76, 9,948.72 and 4,065.40 is: 5,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.76 : 9,948.72 = 4,065.40 : x
  2. Step 2: Convert to fraction form
    7,209.76/9,948.72 = 4,065.40/x
  3. Step 3: Cross multiply
    7,209.76x = 9,948.72 × 4,065.40
  4. Step 4: Simplify right side
    7,209.76x = 40,445,526.29
  5. Step 5: Solve for x
    x = 40,445,526.29/7,209.76
  6. Step 6: Final answer
    x = 5,609.83

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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.