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Finding the Fourth Proportional to 10,069, 15,088.90 and 5,677.12

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Solution

The fourth proportional to 10,069, 15,088.90 and 5,677.12 is: 8,507.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069 : 15,088.90 = 5,677.12 : x
  2. Step 2: Convert to fraction form
    10,069/15,088.90 = 5,677.12/x
  3. Step 3: Cross multiply
    10,069x = 15,088.90 × 5,677.12
  4. Step 4: Simplify right side
    10,069x = 85,661,495.97
  5. Step 5: Solve for x
    x = 85,661,495.97/10,069
  6. Step 6: Final answer
    x = 8,507.45

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1.5x scale

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.