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Finding the Fourth Proportional to 11,513.58, 17,248.10 and 9,642.48

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Solution

The fourth proportional to 11,513.58, 17,248.10 and 9,642.48 is: 14,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.58 : 17,248.10 = 9,642.48 : x
  2. Step 2: Convert to fraction form
    11,513.58/17,248.10 = 9,642.48/x
  3. Step 3: Cross multiply
    11,513.58x = 17,248.10 × 9,642.48
  4. Step 4: Simplify right side
    11,513.58x = 166,314,459.29
  5. Step 5: Solve for x
    x = 166,314,459.29/11,513.58
  6. Step 6: Final answer
    x = 14,445.07

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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.