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Finding the Fourth Proportional to 1,147.84, 1,583 and 971.62

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Solution

The fourth proportional to 1,147.84, 1,583 and 971.62 is: 1,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.84 : 1,583 = 971.62 : x
  2. Step 2: Convert to fraction form
    1,147.84/1,583 = 971.62/x
  3. Step 3: Cross multiply
    1,147.84x = 1,583 × 971.62
  4. Step 4: Simplify right side
    1,147.84x = 1,538,074.46
  5. Step 5: Solve for x
    x = 1,538,074.46/1,147.84
  6. Step 6: Final answer
    x = 1,339.97

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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.