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Finding the Fourth Proportional to 30,677.86, 42,284.46 and 21,713.86

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Solution

The fourth proportional to 30,677.86, 42,284.46 and 21,713.86 is: 29,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.86 : 42,284.46 = 21,713.86 : x
  2. Step 2: Convert to fraction form
    30,677.86/42,284.46 = 21,713.86/x
  3. Step 3: Cross multiply
    30,677.86x = 42,284.46 × 21,713.86
  4. Step 4: Simplify right side
    30,677.86x = 918,158,844.62
  5. Step 5: Solve for x
    x = 918,158,844.62/30,677.86
  6. Step 6: Final answer
    x = 29,929.04

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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.