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Finding the Fourth Proportional to 11,897.70, 16,411.38 and 7,654.29

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Solution

The fourth proportional to 11,897.70, 16,411.38 and 7,654.29 is: 10,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.70 : 16,411.38 = 7,654.29 : x
  2. Step 2: Convert to fraction form
    11,897.70/16,411.38 = 7,654.29/x
  3. Step 3: Cross multiply
    11,897.70x = 16,411.38 × 7,654.29
  4. Step 4: Simplify right side
    11,897.70x = 125,617,461.82
  5. Step 5: Solve for x
    x = 125,617,461.82/11,897.70
  6. Step 6: Final answer
    x = 10,558.13

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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.