Home / 1,702.35-2,551.52-972.43

Finding the Fourth Proportional to 1,702.35, 2,551.52 and 972.43

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Solution

The fourth proportional to 1,702.35, 2,551.52 and 972.43 is: 1,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.35 : 2,551.52 = 972.43 : x
  2. Step 2: Convert to fraction form
    1,702.35/2,551.52 = 972.43/x
  3. Step 3: Cross multiply
    1,702.35x = 2,551.52 × 972.43
  4. Step 4: Simplify right side
    1,702.35x = 2,481,170.65
  5. Step 5: Solve for x
    x = 2,481,170.65/1,702.35
  6. Step 6: Final answer
    x = 1,457.50

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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.