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Finding the Fourth Proportional to 42,507.60, 63,763.80 and 12,926.40

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Solution

The fourth proportional to 42,507.60, 63,763.80 and 12,926.40 is: 19,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,507.60 : 63,763.80 = 12,926.40 : x
  2. Step 2: Convert to fraction form
    42,507.60/63,763.80 = 12,926.40/x
  3. Step 3: Cross multiply
    42,507.60x = 63,763.80 × 12,926.40
  4. Step 4: Simplify right side
    42,507.60x = 824,236,384.32
  5. Step 5: Solve for x
    x = 824,236,384.32/42,507.60
  6. Step 6: Final answer
    x = 19,390.33

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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.