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Finding the Fourth Proportional to 16,237.28, 22,407.36 and 8,785.28

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Solution

The fourth proportional to 16,237.28, 22,407.36 and 8,785.28 is: 12,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.28 : 22,407.36 = 8,785.28 : x
  2. Step 2: Convert to fraction form
    16,237.28/22,407.36 = 8,785.28/x
  3. Step 3: Cross multiply
    16,237.28x = 22,407.36 × 8,785.28
  4. Step 4: Simplify right side
    16,237.28x = 196,854,931.66
  5. Step 5: Solve for x
    x = 196,854,931.66/16,237.28
  6. Step 6: Final answer
    x = 12,123.64

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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.