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Finding the Fourth Proportional to 10,887, 15,024.08 and 6,171.72

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Solution

The fourth proportional to 10,887, 15,024.08 and 6,171.72 is: 8,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887 : 15,024.08 = 6,171.72 : x
  2. Step 2: Convert to fraction form
    10,887/15,024.08 = 6,171.72/x
  3. Step 3: Cross multiply
    10,887x = 15,024.08 × 6,171.72
  4. Step 4: Simplify right side
    10,887x = 92,724,415.02
  5. Step 5: Solve for x
    x = 92,724,415.02/10,887
  6. Step 6: Final answer
    x = 8,516.98

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1.5x scale

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.