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Finding the Fourth Proportional to 11,490.54, 15,848.26 and 9,899.92

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Solution

The fourth proportional to 11,490.54, 15,848.26 and 9,899.92 is: 13,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.54 : 15,848.26 = 9,899.92 : x
  2. Step 2: Convert to fraction form
    11,490.54/15,848.26 = 9,899.92/x
  3. Step 3: Cross multiply
    11,490.54x = 15,848.26 × 9,899.92
  4. Step 4: Simplify right side
    11,490.54x = 156,896,506.14
  5. Step 5: Solve for x
    x = 156,896,506.14/11,490.54
  6. Step 6: Final answer
    x = 13,654.41

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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.