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Finding the Fourth Proportional to 3,144.88, 4,717.40 and 953.48

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Solution

The fourth proportional to 3,144.88, 4,717.40 and 953.48 is: 1,430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.88 : 4,717.40 = 953.48 : x
  2. Step 2: Convert to fraction form
    3,144.88/4,717.40 = 953.48/x
  3. Step 3: Cross multiply
    3,144.88x = 4,717.40 × 953.48
  4. Step 4: Simplify right side
    3,144.88x = 4,497,946.55
  5. Step 5: Solve for x
    x = 4,497,946.55/3,144.88
  6. Step 6: Final answer
    x = 1,430.24

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