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Finding the Fourth Proportional to 36,752.64, 50,702.40 and 21,840

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Solution

The fourth proportional to 36,752.64, 50,702.40 and 21,840 is: 30,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,752.64 : 50,702.40 = 21,840 : x
  2. Step 2: Convert to fraction form
    36,752.64/50,702.40 = 21,840/x
  3. Step 3: Cross multiply
    36,752.64x = 50,702.40 × 21,840
  4. Step 4: Simplify right side
    36,752.64x = 1,107,340,416
  5. Step 5: Solve for x
    x = 1,107,340,416/36,752.64
  6. Step 6: Final answer
    x = 30,129.55

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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.