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Finding the Fourth Proportional to 8,902.64, 12,287.64 and 5,590

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Solution

The fourth proportional to 8,902.64, 12,287.64 and 5,590 is: 7,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.64 : 12,287.64 = 5,590 : x
  2. Step 2: Convert to fraction form
    8,902.64/12,287.64 = 5,590/x
  3. Step 3: Cross multiply
    8,902.64x = 12,287.64 × 5,590
  4. Step 4: Simplify right side
    8,902.64x = 68,687,907.60
  5. Step 5: Solve for x
    x = 68,687,907.60/8,902.64
  6. Step 6: Final answer
    x = 7,715.45

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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.