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Finding the Fourth Proportional to 36,982.40, 51,036.14 and 20,215.40

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Solution

The fourth proportional to 36,982.40, 51,036.14 and 20,215.40 is: 27,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982.40 : 51,036.14 = 20,215.40 : x
  2. Step 2: Convert to fraction form
    36,982.40/51,036.14 = 20,215.40/x
  3. Step 3: Cross multiply
    36,982.40x = 51,036.14 × 20,215.40
  4. Step 4: Simplify right side
    36,982.40x = 1,031,715,779.91
  5. Step 5: Solve for x
    x = 1,031,715,779.91/36,982.40
  6. Step 6: Final answer
    x = 27,897.48

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1.5x scale

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.