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Finding the Fourth Proportional to 1,718.13, 2,370.99 and 972.08

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Solution

The fourth proportional to 1,718.13, 2,370.99 and 972.08 is: 1,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.13 : 2,370.99 = 972.08 : x
  2. Step 2: Convert to fraction form
    1,718.13/2,370.99 = 972.08/x
  3. Step 3: Cross multiply
    1,718.13x = 2,370.99 × 972.08
  4. Step 4: Simplify right side
    1,718.13x = 2,304,791.96
  5. Step 5: Solve for x
    x = 2,304,791.96/1,718.13
  6. Step 6: Final answer
    x = 1,341.45

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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.