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Finding the Fourth Proportional to 15,865.85, 21,894.59 and 9,151.76

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Solution

The fourth proportional to 15,865.85, 21,894.59 and 9,151.76 is: 12,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.85 : 21,894.59 = 9,151.76 : x
  2. Step 2: Convert to fraction form
    15,865.85/21,894.59 = 9,151.76/x
  3. Step 3: Cross multiply
    15,865.85x = 21,894.59 × 9,151.76
  4. Step 4: Simplify right side
    15,865.85x = 200,373,987.22
  5. Step 5: Solve for x
    x = 200,373,987.22/15,865.85
  6. Step 6: Final answer
    x = 12,629.26

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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.