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Finding the Fourth Proportional to 2,357.84, 3,538.81 and 972.17

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Solution

The fourth proportional to 2,357.84, 3,538.81 and 972.17 is: 1,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.84 : 3,538.81 = 972.17 : x
  2. Step 2: Convert to fraction form
    2,357.84/3,538.81 = 972.17/x
  3. Step 3: Cross multiply
    2,357.84x = 3,538.81 × 972.17
  4. Step 4: Simplify right side
    2,357.84x = 3,440,316.24
  5. Step 5: Solve for x
    x = 3,440,316.24/2,357.84
  6. Step 6: Final answer
    x = 1,459.10

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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.