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Finding the Fourth Proportional to 2,013.92, 3,020.40 and 973.40

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Solution

The fourth proportional to 2,013.92, 3,020.40 and 973.40 is: 1,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.92 : 3,020.40 = 973.40 : x
  2. Step 2: Convert to fraction form
    2,013.92/3,020.40 = 973.40/x
  3. Step 3: Cross multiply
    2,013.92x = 3,020.40 × 973.40
  4. Step 4: Simplify right side
    2,013.92x = 2,940,057.36
  5. Step 5: Solve for x
    x = 2,940,057.36/2,013.92
  6. Step 6: Final answer
    x = 1,459.87

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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.