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Finding the Fourth Proportional to 42,988.80, 64,478.34 and 11,820

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Solution

The fourth proportional to 42,988.80, 64,478.34 and 11,820 is: 17,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,988.80 : 64,478.34 = 11,820 : x
  2. Step 2: Convert to fraction form
    42,988.80/64,478.34 = 11,820/x
  3. Step 3: Cross multiply
    42,988.80x = 64,478.34 × 11,820
  4. Step 4: Simplify right side
    42,988.80x = 762,133,978.80
  5. Step 5: Solve for x
    x = 762,133,978.80/42,988.80
  6. Step 6: Final answer
    x = 17,728.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.