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Finding the Fourth Proportional to 11,488.64, 15,844.60 and 9,704.88

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Solution

The fourth proportional to 11,488.64, 15,844.60 and 9,704.88 is: 13,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.64 : 15,844.60 = 9,704.88 : x
  2. Step 2: Convert to fraction form
    11,488.64/15,844.60 = 9,704.88/x
  3. Step 3: Cross multiply
    11,488.64x = 15,844.60 × 9,704.88
  4. Step 4: Simplify right side
    11,488.64x = 153,769,941.65
  5. Step 5: Solve for x
    x = 153,769,941.65/11,488.64
  6. Step 6: Final answer
    x = 13,384.52

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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.