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Finding the Fourth Proportional to 10,268.76, 15,328.86 and 9,023.20

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Solution

The fourth proportional to 10,268.76, 15,328.86 and 9,023.20 is: 13,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.76 : 15,328.86 = 9,023.20 : x
  2. Step 2: Convert to fraction form
    10,268.76/15,328.86 = 9,023.20/x
  3. Step 3: Cross multiply
    10,268.76x = 15,328.86 × 9,023.20
  4. Step 4: Simplify right side
    10,268.76x = 138,315,369.55
  5. Step 5: Solve for x
    x = 138,315,369.55/10,268.76
  6. Step 6: Final answer
    x = 13,469.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.