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Finding the Fourth Proportional to 1,686.97, 2,535.06 and 1,576.25

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Solution

The fourth proportional to 1,686.97, 2,535.06 and 1,576.25 is: 2,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.97 : 2,535.06 = 1,576.25 : x
  2. Step 2: Convert to fraction form
    1,686.97/2,535.06 = 1,576.25/x
  3. Step 3: Cross multiply
    1,686.97x = 2,535.06 × 1,576.25
  4. Step 4: Simplify right side
    1,686.97x = 3,995,875.65
  5. Step 5: Solve for x
    x = 3,995,875.65/1,686.97
  6. Step 6: Final answer
    x = 2,368.68

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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.