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Finding the Fourth Proportional to 10,591.59, 15,890 and 7,477.69

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Solution

The fourth proportional to 10,591.59, 15,890 and 7,477.69 is: 11,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.59 : 15,890 = 7,477.69 : x
  2. Step 2: Convert to fraction form
    10,591.59/15,890 = 7,477.69/x
  3. Step 3: Cross multiply
    10,591.59x = 15,890 × 7,477.69
  4. Step 4: Simplify right side
    10,591.59x = 118,820,494.10
  5. Step 5: Solve for x
    x = 118,820,494.10/10,591.59
  6. Step 6: Final answer
    x = 11,218.38

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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.