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Finding the Fourth Proportional to 8,965.53, 12,368.97 and 5,778.58

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Solution

The fourth proportional to 8,965.53, 12,368.97 and 5,778.58 is: 7,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.53 : 12,368.97 = 5,778.58 : x
  2. Step 2: Convert to fraction form
    8,965.53/12,368.97 = 5,778.58/x
  3. Step 3: Cross multiply
    8,965.53x = 12,368.97 × 5,778.58
  4. Step 4: Simplify right side
    8,965.53x = 71,475,082.66
  5. Step 5: Solve for x
    x = 71,475,082.66/8,965.53
  6. Step 6: Final answer
    x = 7,972.21

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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.