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Finding the Fourth Proportional to 10,625.60, 15,916.80 and 8,681.60

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Solution

The fourth proportional to 10,625.60, 15,916.80 and 8,681.60 is: 13,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.60 : 15,916.80 = 8,681.60 : x
  2. Step 2: Convert to fraction form
    10,625.60/15,916.80 = 8,681.60/x
  3. Step 3: Cross multiply
    10,625.60x = 15,916.80 × 8,681.60
  4. Step 4: Simplify right side
    10,625.60x = 138,183,290.88
  5. Step 5: Solve for x
    x = 138,183,290.88/10,625.60
  6. Step 6: Final answer
    x = 13,004.75

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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.