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Finding the Fourth Proportional to 26,319, 36,320.25 and 15,141

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Solution

The fourth proportional to 26,319, 36,320.25 and 15,141 is: 20,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319 : 36,320.25 = 15,141 : x
  2. Step 2: Convert to fraction form
    26,319/36,320.25 = 15,141/x
  3. Step 3: Cross multiply
    26,319x = 36,320.25 × 15,141
  4. Step 4: Simplify right side
    26,319x = 549,924,905.25
  5. Step 5: Solve for x
    x = 549,924,905.25/26,319
  6. Step 6: Final answer
    x = 20,894.60

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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.