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Finding the Fourth Proportional to 5,172.98, 7,759.47 and 1,277.46

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Solution

The fourth proportional to 5,172.98, 7,759.47 and 1,277.46 is: 1,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.98 : 7,759.47 = 1,277.46 : x
  2. Step 2: Convert to fraction form
    5,172.98/7,759.47 = 1,277.46/x
  3. Step 3: Cross multiply
    5,172.98x = 7,759.47 × 1,277.46
  4. Step 4: Simplify right side
    5,172.98x = 9,912,412.55
  5. Step 5: Solve for x
    x = 9,912,412.55/5,172.98
  6. Step 6: Final answer
    x = 1,916.19

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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.