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Finding the Fourth Proportional to 4,744.75, 7,117.13 and 1,282

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Solution

The fourth proportional to 4,744.75, 7,117.13 and 1,282 is: 1,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.75 : 7,117.13 = 1,282 : x
  2. Step 2: Convert to fraction form
    4,744.75/7,117.13 = 1,282/x
  3. Step 3: Cross multiply
    4,744.75x = 7,117.13 × 1,282
  4. Step 4: Simplify right side
    4,744.75x = 9,124,160.66
  5. Step 5: Solve for x
    x = 9,124,160.66/4,744.75
  6. Step 6: Final answer
    x = 1,923.00

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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.