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Finding the Fourth Proportional to 15,314.04, 22,978.08 and 9,086.40

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Solution

The fourth proportional to 15,314.04, 22,978.08 and 9,086.40 is: 13,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.04 : 22,978.08 = 9,086.40 : x
  2. Step 2: Convert to fraction form
    15,314.04/22,978.08 = 9,086.40/x
  3. Step 3: Cross multiply
    15,314.04x = 22,978.08 × 9,086.40
  4. Step 4: Simplify right side
    15,314.04x = 208,788,026.11
  5. Step 5: Solve for x
    x = 208,788,026.11/15,314.04
  6. Step 6: Final answer
    x = 13,633.77

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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.