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Finding the Fourth Proportional to 30,700.31, 42,350.93 and 17,945.16

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Solution

The fourth proportional to 30,700.31, 42,350.93 and 17,945.16 is: 24,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.31 : 42,350.93 = 17,945.16 : x
  2. Step 2: Convert to fraction form
    30,700.31/42,350.93 = 17,945.16/x
  3. Step 3: Cross multiply
    30,700.31x = 42,350.93 × 17,945.16
  4. Step 4: Simplify right side
    30,700.31x = 759,994,125.27
  5. Step 5: Solve for x
    x = 759,994,125.27/30,700.31
  6. Step 6: Final answer
    x = 24,755.26

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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.