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Finding the Fourth Proportional to 14,978.90, 20,670.85 and 8,264.95

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Solution

The fourth proportional to 14,978.90, 20,670.85 and 8,264.95 is: 11,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.90 : 20,670.85 = 8,264.95 : x
  2. Step 2: Convert to fraction form
    14,978.90/20,670.85 = 8,264.95/x
  3. Step 3: Cross multiply
    14,978.90x = 20,670.85 × 8,264.95
  4. Step 4: Simplify right side
    14,978.90x = 170,843,541.71
  5. Step 5: Solve for x
    x = 170,843,541.71/14,978.90
  6. Step 6: Final answer
    x = 11,405.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.