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Finding the Fourth Proportional to 10,086, 13,920.48 and 9,643.20

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Solution

The fourth proportional to 10,086, 13,920.48 and 9,643.20 is: 13,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 13,920.48 = 9,643.20 : x
  2. Step 2: Convert to fraction form
    10,086/13,920.48 = 9,643.20/x
  3. Step 3: Cross multiply
    10,086x = 13,920.48 × 9,643.20
  4. Step 4: Simplify right side
    10,086x = 134,237,972.74
  5. Step 5: Solve for x
    x = 134,237,972.74/10,086
  6. Step 6: Final answer
    x = 13,309.34

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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.