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Finding the Fourth Proportional to 1,578.16, 2,176.68 and 988.30

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Solution

The fourth proportional to 1,578.16, 2,176.68 and 988.30 is: 1,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.16 : 2,176.68 = 988.30 : x
  2. Step 2: Convert to fraction form
    1,578.16/2,176.68 = 988.30/x
  3. Step 3: Cross multiply
    1,578.16x = 2,176.68 × 988.30
  4. Step 4: Simplify right side
    1,578.16x = 2,151,212.84
  5. Step 5: Solve for x
    x = 2,151,212.84/1,578.16
  6. Step 6: Final answer
    x = 1,363.11

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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.