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Finding the Fourth Proportional to 5,292.95, 7,938.81 and 1,397.66

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Solution

The fourth proportional to 5,292.95, 7,938.81 and 1,397.66 is: 2,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.95 : 7,938.81 = 1,397.66 : x
  2. Step 2: Convert to fraction form
    5,292.95/7,938.81 = 1,397.66/x
  3. Step 3: Cross multiply
    5,292.95x = 7,938.81 × 1,397.66
  4. Step 4: Simplify right side
    5,292.95x = 11,095,710.50
  5. Step 5: Solve for x
    x = 11,095,710.50/5,292.95
  6. Step 6: Final answer
    x = 2,096.32

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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.