Home / 1,854.10-2,776.29-984.16

Finding the Fourth Proportional to 1,854.10, 2,776.29 and 984.16

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Solution

The fourth proportional to 1,854.10, 2,776.29 and 984.16 is: 1,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.10 : 2,776.29 = 984.16 : x
  2. Step 2: Convert to fraction form
    1,854.10/2,776.29 = 984.16/x
  3. Step 3: Cross multiply
    1,854.10x = 2,776.29 × 984.16
  4. Step 4: Simplify right side
    1,854.10x = 2,732,313.57
  5. Step 5: Solve for x
    x = 2,732,313.57/1,854.10
  6. Step 6: Final answer
    x = 1,473.66

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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.