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Finding the Fourth Proportional to 11,702.70, 16,151.94 and 6,989.58

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Solution

The fourth proportional to 11,702.70, 16,151.94 and 6,989.58 is: 9,646.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.70 : 16,151.94 = 6,989.58 : x
  2. Step 2: Convert to fraction form
    11,702.70/16,151.94 = 6,989.58/x
  3. Step 3: Cross multiply
    11,702.70x = 16,151.94 × 6,989.58
  4. Step 4: Simplify right side
    11,702.70x = 112,895,276.79
  5. Step 5: Solve for x
    x = 112,895,276.79/11,702.70
  6. Step 6: Final answer
    x = 9,646.94

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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.