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Finding the Fourth Proportional to 11,937.60, 17,882.64 and 9,328.32

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Solution

The fourth proportional to 11,937.60, 17,882.64 and 9,328.32 is: 13,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.60 : 17,882.64 = 9,328.32 : x
  2. Step 2: Convert to fraction form
    11,937.60/17,882.64 = 9,328.32/x
  3. Step 3: Cross multiply
    11,937.60x = 17,882.64 × 9,328.32
  4. Step 4: Simplify right side
    11,937.60x = 166,814,988.36
  5. Step 5: Solve for x
    x = 166,814,988.36/11,937.60
  6. Step 6: Final answer
    x = 13,973.91

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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.