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Finding the Fourth Proportional to 16,978.95, 23,438.80 and 10,176.20

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Solution

The fourth proportional to 16,978.95, 23,438.80 and 10,176.20 is: 14,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.95 : 23,438.80 = 10,176.20 : x
  2. Step 2: Convert to fraction form
    16,978.95/23,438.80 = 10,176.20/x
  3. Step 3: Cross multiply
    16,978.95x = 23,438.80 × 10,176.20
  4. Step 4: Simplify right side
    16,978.95x = 238,517,842.74
  5. Step 5: Solve for x
    x = 238,517,842.74/16,978.95
  6. Step 6: Final answer
    x = 14,047.86

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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.