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Finding the Fourth Proportional to 12,157.52, 16,785.24 and 7,444.40

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Solution

The fourth proportional to 12,157.52, 16,785.24 and 7,444.40 is: 10,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.52 : 16,785.24 = 7,444.40 : x
  2. Step 2: Convert to fraction form
    12,157.52/16,785.24 = 7,444.40/x
  3. Step 3: Cross multiply
    12,157.52x = 16,785.24 × 7,444.40
  4. Step 4: Simplify right side
    12,157.52x = 124,956,040.66
  5. Step 5: Solve for x
    x = 124,956,040.66/12,157.52
  6. Step 6: Final answer
    x = 10,278.09

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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.