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Finding the Fourth Proportional to 15,438, 23,188.08 and 9,210.18

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Solution

The fourth proportional to 15,438, 23,188.08 and 9,210.18 is: 13,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 23,188.08 = 9,210.18 : x
  2. Step 2: Convert to fraction form
    15,438/23,188.08 = 9,210.18/x
  3. Step 3: Cross multiply
    15,438x = 23,188.08 × 9,210.18
  4. Step 4: Simplify right side
    15,438x = 213,566,390.65
  5. Step 5: Solve for x
    x = 213,566,390.65/15,438
  6. Step 6: Final answer
    x = 13,833.81

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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.