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Finding the Fourth Proportional to 11,540.64, 15,909 and 9,017.28

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Solution

The fourth proportional to 11,540.64, 15,909 and 9,017.28 is: 12,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.64 : 15,909 = 9,017.28 : x
  2. Step 2: Convert to fraction form
    11,540.64/15,909 = 9,017.28/x
  3. Step 3: Cross multiply
    11,540.64x = 15,909 × 9,017.28
  4. Step 4: Simplify right side
    11,540.64x = 143,455,907.52
  5. Step 5: Solve for x
    x = 143,455,907.52/11,540.64
  6. Step 6: Final answer
    x = 12,430.50

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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.