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Finding the Fourth Proportional to 2,925.76, 4,388.68 and 977.97

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Solution

The fourth proportional to 2,925.76, 4,388.68 and 977.97 is: 1,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.76 : 4,388.68 = 977.97 : x
  2. Step 2: Convert to fraction form
    2,925.76/4,388.68 = 977.97/x
  3. Step 3: Cross multiply
    2,925.76x = 4,388.68 × 977.97
  4. Step 4: Simplify right side
    2,925.76x = 4,291,997.38
  5. Step 5: Solve for x
    x = 4,291,997.38/2,925.76
  6. Step 6: Final answer
    x = 1,466.97

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1.5x scale

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.