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Finding the Fourth Proportional to 36,978.90, 51,031.53 and 21,062.40

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Solution

The fourth proportional to 36,978.90, 51,031.53 and 21,062.40 is: 29,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.90 : 51,031.53 = 21,062.40 : x
  2. Step 2: Convert to fraction form
    36,978.90/51,031.53 = 21,062.40/x
  3. Step 3: Cross multiply
    36,978.90x = 51,031.53 × 21,062.40
  4. Step 4: Simplify right side
    36,978.90x = 1,074,846,497.47
  5. Step 5: Solve for x
    x = 1,074,846,497.47/36,978.90
  6. Step 6: Final answer
    x = 29,066.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.