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Finding the Fourth Proportional to 11,624, 16,108.72 and 11,402.40

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Solution

The fourth proportional to 11,624, 16,108.72 and 11,402.40 is: 15,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624 : 16,108.72 = 11,402.40 : x
  2. Step 2: Convert to fraction form
    11,624/16,108.72 = 11,402.40/x
  3. Step 3: Cross multiply
    11,624x = 16,108.72 × 11,402.40
  4. Step 4: Simplify right side
    11,624x = 183,678,068.93
  5. Step 5: Solve for x
    x = 183,678,068.93/11,624
  6. Step 6: Final answer
    x = 15,801.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.