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Finding the Fourth Proportional to 9,894.59, 13,652.90 and 5,645.66

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Solution

The fourth proportional to 9,894.59, 13,652.90 and 5,645.66 is: 7,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.59 : 13,652.90 = 5,645.66 : x
  2. Step 2: Convert to fraction form
    9,894.59/13,652.90 = 5,645.66/x
  3. Step 3: Cross multiply
    9,894.59x = 13,652.90 × 5,645.66
  4. Step 4: Simplify right side
    9,894.59x = 77,079,626.25
  5. Step 5: Solve for x
    x = 77,079,626.25/9,894.59
  6. Step 6: Final answer
    x = 7,790.08

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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.