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Finding the Fourth Proportional to 20,965.70, 31,479.69 and 8,510.13

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Solution

The fourth proportional to 20,965.70, 31,479.69 and 8,510.13 is: 12,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.70 : 31,479.69 = 8,510.13 : x
  2. Step 2: Convert to fraction form
    20,965.70/31,479.69 = 8,510.13/x
  3. Step 3: Cross multiply
    20,965.70x = 31,479.69 × 8,510.13
  4. Step 4: Simplify right side
    20,965.70x = 267,896,254.26
  5. Step 5: Solve for x
    x = 267,896,254.26/20,965.70
  6. Step 6: Final answer
    x = 12,777.84

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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.