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Finding the Fourth Proportional to 7,604.40, 11,430.90 and 5,428.20

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Solution

The fourth proportional to 7,604.40, 11,430.90 and 5,428.20 is: 8,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.40 : 11,430.90 = 5,428.20 : x
  2. Step 2: Convert to fraction form
    7,604.40/11,430.90 = 5,428.20/x
  3. Step 3: Cross multiply
    7,604.40x = 11,430.90 × 5,428.20
  4. Step 4: Simplify right side
    7,604.40x = 62,049,211.38
  5. Step 5: Solve for x
    x = 62,049,211.38/7,604.40
  6. Step 6: Final answer
    x = 8,159.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.