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Finding the Fourth Proportional to 15,865.68, 21,894.60 and 9,151.20

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Solution

The fourth proportional to 15,865.68, 21,894.60 and 9,151.20 is: 12,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.68 : 21,894.60 = 9,151.20 : x
  2. Step 2: Convert to fraction form
    15,865.68/21,894.60 = 9,151.20/x
  3. Step 3: Cross multiply
    15,865.68x = 21,894.60 × 9,151.20
  4. Step 4: Simplify right side
    15,865.68x = 200,361,863.52
  5. Step 5: Solve for x
    x = 200,361,863.52/15,865.68
  6. Step 6: Final answer
    x = 12,628.63

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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.