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Finding the Fourth Proportional to 34,302.40, 51,398.40 and 19,467.20

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Solution

The fourth proportional to 34,302.40, 51,398.40 and 19,467.20 is: 29,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,302.40 : 51,398.40 = 19,467.20 : x
  2. Step 2: Convert to fraction form
    34,302.40/51,398.40 = 19,467.20/x
  3. Step 3: Cross multiply
    34,302.40x = 51,398.40 × 19,467.20
  4. Step 4: Simplify right side
    34,302.40x = 1,000,582,932.48
  5. Step 5: Solve for x
    x = 1,000,582,932.48/34,302.40
  6. Step 6: Final answer
    x = 29,169.47

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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.