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Finding the Fourth Proportional to 14,978.40, 22,424.40 and 13,423.20

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Solution

The fourth proportional to 14,978.40, 22,424.40 and 13,423.20 is: 20,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.40 : 22,424.40 = 13,423.20 : x
  2. Step 2: Convert to fraction form
    14,978.40/22,424.40 = 13,423.20/x
  3. Step 3: Cross multiply
    14,978.40x = 22,424.40 × 13,423.20
  4. Step 4: Simplify right side
    14,978.40x = 301,007,206.08
  5. Step 5: Solve for x
    x = 301,007,206.08/14,978.40
  6. Step 6: Final answer
    x = 20,096.09

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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.