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Finding the Fourth Proportional to 11,484, 15,854.40 and 8,684.64

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Solution

The fourth proportional to 11,484, 15,854.40 and 8,684.64 is: 11,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 15,854.40 = 8,684.64 : x
  2. Step 2: Convert to fraction form
    11,484/15,854.40 = 8,684.64/x
  3. Step 3: Cross multiply
    11,484x = 15,854.40 × 8,684.64
  4. Step 4: Simplify right side
    11,484x = 137,689,756.42
  5. Step 5: Solve for x
    x = 137,689,756.42/11,484
  6. Step 6: Final answer
    x = 11,989.70

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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.