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Finding the Fourth Proportional to 11,886.72, 17,832 and 9,715.20

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Solution

The fourth proportional to 11,886.72, 17,832 and 9,715.20 is: 14,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.72 : 17,832 = 9,715.20 : x
  2. Step 2: Convert to fraction form
    11,886.72/17,832 = 9,715.20/x
  3. Step 3: Cross multiply
    11,886.72x = 17,832 × 9,715.20
  4. Step 4: Simplify right side
    11,886.72x = 173,241,446.40
  5. Step 5: Solve for x
    x = 173,241,446.40/11,886.72
  6. Step 6: Final answer
    x = 14,574.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.