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Finding the Fourth Proportional to 30,847.76, 42,570.02 and 16,700.58

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Solution

The fourth proportional to 30,847.76, 42,570.02 and 16,700.58 is: 23,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.76 : 42,570.02 = 16,700.58 : x
  2. Step 2: Convert to fraction form
    30,847.76/42,570.02 = 16,700.58/x
  3. Step 3: Cross multiply
    30,847.76x = 42,570.02 × 16,700.58
  4. Step 4: Simplify right side
    30,847.76x = 710,944,024.61
  5. Step 5: Solve for x
    x = 710,944,024.61/30,847.76
  6. Step 6: Final answer
    x = 23,046.86

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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.