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Finding the Fourth Proportional to 5,315.71, 7,971.86 and 1,757.16

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Solution

The fourth proportional to 5,315.71, 7,971.86 and 1,757.16 is: 2,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.71 : 7,971.86 = 1,757.16 : x
  2. Step 2: Convert to fraction form
    5,315.71/7,971.86 = 1,757.16/x
  3. Step 3: Cross multiply
    5,315.71x = 7,971.86 × 1,757.16
  4. Step 4: Simplify right side
    5,315.71x = 14,007,833.52
  5. Step 5: Solve for x
    x = 14,007,833.52/5,315.71
  6. Step 6: Final answer
    x = 2,635.18

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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.