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Finding the Fourth Proportional to 30,471.52, 42,050.40 and 17,042.80

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Solution

The fourth proportional to 30,471.52, 42,050.40 and 17,042.80 is: 23,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.52 : 42,050.40 = 17,042.80 : x
  2. Step 2: Convert to fraction form
    30,471.52/42,050.40 = 17,042.80/x
  3. Step 3: Cross multiply
    30,471.52x = 42,050.40 × 17,042.80
  4. Step 4: Simplify right side
    30,471.52x = 716,656,557.12
  5. Step 5: Solve for x
    x = 716,656,557.12/30,471.52
  6. Step 6: Final answer
    x = 23,518.90

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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.