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Finding the Fourth Proportional to 5,407.97, 8,111.90 and 1,710.20

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Solution

The fourth proportional to 5,407.97, 8,111.90 and 1,710.20 is: 2,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.97 : 8,111.90 = 1,710.20 : x
  2. Step 2: Convert to fraction form
    5,407.97/8,111.90 = 1,710.20/x
  3. Step 3: Cross multiply
    5,407.97x = 8,111.90 × 1,710.20
  4. Step 4: Simplify right side
    5,407.97x = 13,872,959.10
  5. Step 5: Solve for x
    x = 13,872,959.10/5,407.97
  6. Step 6: Final answer
    x = 2,565.28

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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.