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Finding the Fourth Proportional to 11,357.52, 15,662.70 and 9,005.28

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Solution

The fourth proportional to 11,357.52, 15,662.70 and 9,005.28 is: 12,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.52 : 15,662.70 = 9,005.28 : x
  2. Step 2: Convert to fraction form
    11,357.52/15,662.70 = 9,005.28/x
  3. Step 3: Cross multiply
    11,357.52x = 15,662.70 × 9,005.28
  4. Step 4: Simplify right side
    11,357.52x = 141,046,999.06
  5. Step 5: Solve for x
    x = 141,046,999.06/11,357.52
  6. Step 6: Final answer
    x = 12,418.82

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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.