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Finding the Fourth Proportional to 2,952.48, 4,428.78 and 1,980.48

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Solution

The fourth proportional to 2,952.48, 4,428.78 and 1,980.48 is: 2,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.48 : 4,428.78 = 1,980.48 : x
  2. Step 2: Convert to fraction form
    2,952.48/4,428.78 = 1,980.48/x
  3. Step 3: Cross multiply
    2,952.48x = 4,428.78 × 1,980.48
  4. Step 4: Simplify right side
    2,952.48x = 8,771,110.21
  5. Step 5: Solve for x
    x = 8,771,110.21/2,952.48
  6. Step 6: Final answer
    x = 2,970.76

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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.