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Finding the Fourth Proportional to 30,779.47, 42,473.12 and 17,354.02

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Solution

The fourth proportional to 30,779.47, 42,473.12 and 17,354.02 is: 23,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.47 : 42,473.12 = 17,354.02 : x
  2. Step 2: Convert to fraction form
    30,779.47/42,473.12 = 17,354.02/x
  3. Step 3: Cross multiply
    30,779.47x = 42,473.12 × 17,354.02
  4. Step 4: Simplify right side
    30,779.47x = 737,079,373.94
  5. Step 5: Solve for x
    x = 737,079,373.94/30,779.47
  6. Step 6: Final answer
    x = 23,947.11

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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.