Home / 25,723.04-38,574-8,188.16

Finding the Fourth Proportional to 25,723.04, 38,574 and 8,188.16

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Solution

The fourth proportional to 25,723.04, 38,574 and 8,188.16 is: 12,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,723.04 : 38,574 = 8,188.16 : x
  2. Step 2: Convert to fraction form
    25,723.04/38,574 = 8,188.16/x
  3. Step 3: Cross multiply
    25,723.04x = 38,574 × 8,188.16
  4. Step 4: Simplify right side
    25,723.04x = 315,850,083.84
  5. Step 5: Solve for x
    x = 315,850,083.84/25,723.04
  6. Step 6: Final answer
    x = 12,278.88

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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.