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Finding the Fourth Proportional to 2,952.96, 4,428.20 and 1,005.28

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Solution

The fourth proportional to 2,952.96, 4,428.20 and 1,005.28 is: 1,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.96 : 4,428.20 = 1,005.28 : x
  2. Step 2: Convert to fraction form
    2,952.96/4,428.20 = 1,005.28/x
  3. Step 3: Cross multiply
    2,952.96x = 4,428.20 × 1,005.28
  4. Step 4: Simplify right side
    2,952.96x = 4,451,580.90
  5. Step 5: Solve for x
    x = 4,451,580.90/2,952.96
  6. Step 6: Final answer
    x = 1,507.50

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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.