Home / 1,531.84-2,098.09-1,442.07

Finding the Fourth Proportional to 1,531.84, 2,098.09 and 1,442.07

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Solution

The fourth proportional to 1,531.84, 2,098.09 and 1,442.07 is: 1,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.84 : 2,098.09 = 1,442.07 : x
  2. Step 2: Convert to fraction form
    1,531.84/2,098.09 = 1,442.07/x
  3. Step 3: Cross multiply
    1,531.84x = 2,098.09 × 1,442.07
  4. Step 4: Simplify right side
    1,531.84x = 3,025,592.65
  5. Step 5: Solve for x
    x = 3,025,592.65/1,531.84
  6. Step 6: Final answer
    x = 1,975.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.