Home / 10,089.24-13,932-9,758.76

Finding the Fourth Proportional to 10,089.24, 13,932 and 9,758.76

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Solution

The fourth proportional to 10,089.24, 13,932 and 9,758.76 is: 13,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.24 : 13,932 = 9,758.76 : x
  2. Step 2: Convert to fraction form
    10,089.24/13,932 = 9,758.76/x
  3. Step 3: Cross multiply
    10,089.24x = 13,932 × 9,758.76
  4. Step 4: Simplify right side
    10,089.24x = 135,959,044.32
  5. Step 5: Solve for x
    x = 135,959,044.32/10,089.24
  6. Step 6: Final answer
    x = 13,475.65

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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.