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Finding the Fourth Proportional to 31,062.87, 42,866.82 and 16,915.68

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Solution

The fourth proportional to 31,062.87, 42,866.82 and 16,915.68 is: 23,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062.87 : 42,866.82 = 16,915.68 : x
  2. Step 2: Convert to fraction form
    31,062.87/42,866.82 = 16,915.68/x
  3. Step 3: Cross multiply
    31,062.87x = 42,866.82 × 16,915.68
  4. Step 4: Simplify right side
    31,062.87x = 725,121,409.74
  5. Step 5: Solve for x
    x = 725,121,409.74/31,062.87
  6. Step 6: Final answer
    x = 23,343.67

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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.