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Finding the Fourth Proportional to 10,889.31, 16,254.04 and 9,965.91

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Solution

The fourth proportional to 10,889.31, 16,254.04 and 9,965.91 is: 14,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.31 : 16,254.04 = 9,965.91 : x
  2. Step 2: Convert to fraction form
    10,889.31/16,254.04 = 9,965.91/x
  3. Step 3: Cross multiply
    10,889.31x = 16,254.04 × 9,965.91
  4. Step 4: Simplify right side
    10,889.31x = 161,986,274.86
  5. Step 5: Solve for x
    x = 161,986,274.86/10,889.31
  6. Step 6: Final answer
    x = 14,875.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.