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Finding the Fourth Proportional to 11,931.12, 16,470.39 and 7,457.76

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Solution

The fourth proportional to 11,931.12, 16,470.39 and 7,457.76 is: 10,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.12 : 16,470.39 = 7,457.76 : x
  2. Step 2: Convert to fraction form
    11,931.12/16,470.39 = 7,457.76/x
  3. Step 3: Cross multiply
    11,931.12x = 16,470.39 × 7,457.76
  4. Step 4: Simplify right side
    11,931.12x = 122,832,215.73
  5. Step 5: Solve for x
    x = 122,832,215.73/11,931.12
  6. Step 6: Final answer
    x = 10,295.11

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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.