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Finding the Fourth Proportional to 1,700.13, 2,547.80 and 1,351.92

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Solution

The fourth proportional to 1,700.13, 2,547.80 and 1,351.92 is: 2,025.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.13 : 2,547.80 = 1,351.92 : x
  2. Step 2: Convert to fraction form
    1,700.13/2,547.80 = 1,351.92/x
  3. Step 3: Cross multiply
    1,700.13x = 2,547.80 × 1,351.92
  4. Step 4: Simplify right side
    1,700.13x = 3,444,420.09
  5. Step 5: Solve for x
    x = 3,444,420.09/1,700.13
  6. Step 6: Final answer
    x = 2,025.97

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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.