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Finding the Fourth Proportional to 42,412.80, 63,626.40 and 12,830.40

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Solution

The fourth proportional to 42,412.80, 63,626.40 and 12,830.40 is: 19,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412.80 : 63,626.40 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    42,412.80/63,626.40 = 12,830.40/x
  3. Step 3: Cross multiply
    42,412.80x = 63,626.40 × 12,830.40
  4. Step 4: Simplify right side
    42,412.80x = 816,352,162.56
  5. Step 5: Solve for x
    x = 816,352,162.56/42,412.80
  6. Step 6: Final answer
    x = 19,247.78

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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.