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Finding the Fourth Proportional to 11,689.70, 16,132.08 and 6,385.01

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Solution

The fourth proportional to 11,689.70, 16,132.08 and 6,385.01 is: 8,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.70 : 16,132.08 = 6,385.01 : x
  2. Step 2: Convert to fraction form
    11,689.70/16,132.08 = 6,385.01/x
  3. Step 3: Cross multiply
    11,689.70x = 16,132.08 × 6,385.01
  4. Step 4: Simplify right side
    11,689.70x = 103,003,411.46
  5. Step 5: Solve for x
    x = 103,003,411.46/11,689.70
  6. Step 6: Final answer
    x = 8,811.47

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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.