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Finding the Fourth Proportional to 42,390, 63,585 and 11,225.25

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Solution

The fourth proportional to 42,390, 63,585 and 11,225.25 is: 16,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,390 : 63,585 = 11,225.25 : x
  2. Step 2: Convert to fraction form
    42,390/63,585 = 11,225.25/x
  3. Step 3: Cross multiply
    42,390x = 63,585 × 11,225.25
  4. Step 4: Simplify right side
    42,390x = 713,757,521.25
  5. Step 5: Solve for x
    x = 713,757,521.25/42,390
  6. Step 6: Final answer
    x = 16,837.88

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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.