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Finding the Fourth Proportional to 15,880.96, 23,808 and 9,712

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Solution

The fourth proportional to 15,880.96, 23,808 and 9,712 is: 14,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.96 : 23,808 = 9,712 : x
  2. Step 2: Convert to fraction form
    15,880.96/23,808 = 9,712/x
  3. Step 3: Cross multiply
    15,880.96x = 23,808 × 9,712
  4. Step 4: Simplify right side
    15,880.96x = 231,223,296
  5. Step 5: Solve for x
    x = 231,223,296/15,880.96
  6. Step 6: Final answer
    x = 14,559.78

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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.