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Finding the Fourth Proportional to 34,159.24, 51,242.10 and 11,978.20

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Solution

The fourth proportional to 34,159.24, 51,242.10 and 11,978.20 is: 17,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.24 : 51,242.10 = 11,978.20 : x
  2. Step 2: Convert to fraction form
    34,159.24/51,242.10 = 11,978.20/x
  3. Step 3: Cross multiply
    34,159.24x = 51,242.10 × 11,978.20
  4. Step 4: Simplify right side
    34,159.24x = 613,788,122.22
  5. Step 5: Solve for x
    x = 613,788,122.22/34,159.24
  6. Step 6: Final answer
    x = 17,968.44

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1.5x scale

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.