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Finding the Fourth Proportional to 15,681.76, 21,650.96 and 9,719.77

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Solution

The fourth proportional to 15,681.76, 21,650.96 and 9,719.77 is: 13,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.76 : 21,650.96 = 9,719.77 : x
  2. Step 2: Convert to fraction form
    15,681.76/21,650.96 = 9,719.77/x
  3. Step 3: Cross multiply
    15,681.76x = 21,650.96 × 9,719.77
  4. Step 4: Simplify right side
    15,681.76x = 210,442,267.52
  5. Step 5: Solve for x
    x = 210,442,267.52/15,681.76
  6. Step 6: Final answer
    x = 13,419.56

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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.