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Finding the Fourth Proportional to 1,721.59, 2,375.75 and 975.53

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Solution

The fourth proportional to 1,721.59, 2,375.75 and 975.53 is: 1,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.59 : 2,375.75 = 975.53 : x
  2. Step 2: Convert to fraction form
    1,721.59/2,375.75 = 975.53/x
  3. Step 3: Cross multiply
    1,721.59x = 2,375.75 × 975.53
  4. Step 4: Simplify right side
    1,721.59x = 2,317,615.40
  5. Step 5: Solve for x
    x = 2,317,615.40/1,721.59
  6. Step 6: Final answer
    x = 1,346.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.