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Finding the Fourth Proportional to 8,782.70, 12,114.56 and 5,378.13

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Solution

The fourth proportional to 8,782.70, 12,114.56 and 5,378.13 is: 7,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.70 : 12,114.56 = 5,378.13 : x
  2. Step 2: Convert to fraction form
    8,782.70/12,114.56 = 5,378.13/x
  3. Step 3: Cross multiply
    8,782.70x = 12,114.56 × 5,378.13
  4. Step 4: Simplify right side
    8,782.70x = 65,153,692.02
  5. Step 5: Solve for x
    x = 65,153,692.02/8,782.70
  6. Step 6: Final answer
    x = 7,418.42

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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.