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Finding the Fourth Proportional to 14,978.16, 22,438.44 and 8,384.40

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Solution

The fourth proportional to 14,978.16, 22,438.44 and 8,384.40 is: 12,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.16 : 22,438.44 = 8,384.40 : x
  2. Step 2: Convert to fraction form
    14,978.16/22,438.44 = 8,384.40/x
  3. Step 3: Cross multiply
    14,978.16x = 22,438.44 × 8,384.40
  4. Step 4: Simplify right side
    14,978.16x = 188,132,856.34
  5. Step 5: Solve for x
    x = 188,132,856.34/14,978.16
  6. Step 6: Final answer
    x = 12,560.48

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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.