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Finding the Fourth Proportional to 34,642.40, 51,956.40 and 14,921.60

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Solution

The fourth proportional to 34,642.40, 51,956.40 and 14,921.60 is: 22,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.40 : 51,956.40 = 14,921.60 : x
  2. Step 2: Convert to fraction form
    34,642.40/51,956.40 = 14,921.60/x
  3. Step 3: Cross multiply
    34,642.40x = 51,956.40 × 14,921.60
  4. Step 4: Simplify right side
    34,642.40x = 775,272,618.24
  5. Step 5: Solve for x
    x = 775,272,618.24/34,642.40
  6. Step 6: Final answer
    x = 22,379.30

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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.