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Finding the Fourth Proportional to 2,384.49, 3,576.35 and 652.71

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Solution

The fourth proportional to 2,384.49, 3,576.35 and 652.71 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.49 : 3,576.35 = 652.71 : x
  2. Step 2: Convert to fraction form
    2,384.49/3,576.35 = 652.71/x
  3. Step 3: Cross multiply
    2,384.49x = 3,576.35 × 652.71
  4. Step 4: Simplify right side
    2,384.49x = 2,334,319.41
  5. Step 5: Solve for x
    x = 2,334,319.41/2,384.49
  6. Step 6: Final answer
    x = 978.96

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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.