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Finding the Fourth Proportional to 9,611.66, 13,264.42 and 5,578.18

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Solution

The fourth proportional to 9,611.66, 13,264.42 and 5,578.18 is: 7,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.66 : 13,264.42 = 5,578.18 : x
  2. Step 2: Convert to fraction form
    9,611.66/13,264.42 = 5,578.18/x
  3. Step 3: Cross multiply
    9,611.66x = 13,264.42 × 5,578.18
  4. Step 4: Simplify right side
    9,611.66x = 73,991,275.25
  5. Step 5: Solve for x
    x = 73,991,275.25/9,611.66
  6. Step 6: Final answer
    x = 7,698.08

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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.