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Finding the Fourth Proportional to 9,643.89, 13,311 and 5,454.57

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Solution

The fourth proportional to 9,643.89, 13,311 and 5,454.57 is: 7,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.89 : 13,311 = 5,454.57 : x
  2. Step 2: Convert to fraction form
    9,643.89/13,311 = 5,454.57/x
  3. Step 3: Cross multiply
    9,643.89x = 13,311 × 5,454.57
  4. Step 4: Simplify right side
    9,643.89x = 72,605,781.27
  5. Step 5: Solve for x
    x = 72,605,781.27/9,643.89
  6. Step 6: Final answer
    x = 7,528.68

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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.