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Finding the Fourth Proportional to 42,420.80, 63,638.40 and 12,838.40

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Solution

The fourth proportional to 42,420.80, 63,638.40 and 12,838.40 is: 19,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,420.80 : 63,638.40 = 12,838.40 : x
  2. Step 2: Convert to fraction form
    42,420.80/63,638.40 = 12,838.40/x
  3. Step 3: Cross multiply
    42,420.80x = 63,638.40 × 12,838.40
  4. Step 4: Simplify right side
    42,420.80x = 817,015,234.56
  5. Step 5: Solve for x
    x = 817,015,234.56/42,420.80
  6. Step 6: Final answer
    x = 19,259.78

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1.5x scale

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.