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Finding the Fourth Proportional to 5,294.70, 7,941.98 and 1,292.10

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Solution

The fourth proportional to 5,294.70, 7,941.98 and 1,292.10 is: 1,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.70 : 7,941.98 = 1,292.10 : x
  2. Step 2: Convert to fraction form
    5,294.70/7,941.98 = 1,292.10/x
  3. Step 3: Cross multiply
    5,294.70x = 7,941.98 × 1,292.10
  4. Step 4: Simplify right side
    5,294.70x = 10,261,832.36
  5. Step 5: Solve for x
    x = 10,261,832.36/5,294.70
  6. Step 6: Final answer
    x = 1,938.13

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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.