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Finding the Fourth Proportional to 31,812.51, 47,715.12 and 8,440.77

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Solution

The fourth proportional to 31,812.51, 47,715.12 and 8,440.77 is: 12,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.51 : 47,715.12 = 8,440.77 : x
  2. Step 2: Convert to fraction form
    31,812.51/47,715.12 = 8,440.77/x
  3. Step 3: Cross multiply
    31,812.51x = 47,715.12 × 8,440.77
  4. Step 4: Simplify right side
    31,812.51x = 402,752,353.44
  5. Step 5: Solve for x
    x = 402,752,353.44/31,812.51
  6. Step 6: Final answer
    x = 12,660.19

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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.