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Finding the Fourth Proportional to 1,718.85, 2,372.08 and 972.90

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Solution

The fourth proportional to 1,718.85, 2,372.08 and 972.90 is: 1,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.85 : 2,372.08 = 972.90 : x
  2. Step 2: Convert to fraction form
    1,718.85/2,372.08 = 972.90/x
  3. Step 3: Cross multiply
    1,718.85x = 2,372.08 × 972.90
  4. Step 4: Simplify right side
    1,718.85x = 2,307,796.63
  5. Step 5: Solve for x
    x = 2,307,796.63/1,718.85
  6. Step 6: Final answer
    x = 1,342.64

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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.