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Finding the Fourth Proportional to 9,763.20, 14,644.80 and 3,187.80

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Solution

The fourth proportional to 9,763.20, 14,644.80 and 3,187.80 is: 4,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.20 : 14,644.80 = 3,187.80 : x
  2. Step 2: Convert to fraction form
    9,763.20/14,644.80 = 3,187.80/x
  3. Step 3: Cross multiply
    9,763.20x = 14,644.80 × 3,187.80
  4. Step 4: Simplify right side
    9,763.20x = 46,684,693.44
  5. Step 5: Solve for x
    x = 46,684,693.44/9,763.20
  6. Step 6: Final answer
    x = 4,781.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.