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Finding the Fourth Proportional to 30,617.78, 42,253.65 and 17,879.11

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Solution

The fourth proportional to 30,617.78, 42,253.65 and 17,879.11 is: 24,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.78 : 42,253.65 = 17,879.11 : x
  2. Step 2: Convert to fraction form
    30,617.78/42,253.65 = 17,879.11/x
  3. Step 3: Cross multiply
    30,617.78x = 42,253.65 × 17,879.11
  4. Step 4: Simplify right side
    30,617.78x = 755,457,656.25
  5. Step 5: Solve for x
    x = 755,457,656.25/30,617.78
  6. Step 6: Final answer
    x = 24,673.82

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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.