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Finding the Fourth Proportional to 7,640.78, 11,459.32 and 5,585

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Solution

The fourth proportional to 7,640.78, 11,459.32 and 5,585 is: 8,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.78 : 11,459.32 = 5,585 : x
  2. Step 2: Convert to fraction form
    7,640.78/11,459.32 = 5,585/x
  3. Step 3: Cross multiply
    7,640.78x = 11,459.32 × 5,585
  4. Step 4: Simplify right side
    7,640.78x = 64,000,302.20
  5. Step 5: Solve for x
    x = 64,000,302.20/7,640.78
  6. Step 6: Final answer
    x = 8,376.15

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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.