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Finding the Fourth Proportional to 2,875.97, 4,313.46 and 928.19

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Solution

The fourth proportional to 2,875.97, 4,313.46 and 928.19 is: 1,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.97 : 4,313.46 = 928.19 : x
  2. Step 2: Convert to fraction form
    2,875.97/4,313.46 = 928.19/x
  3. Step 3: Cross multiply
    2,875.97x = 4,313.46 × 928.19
  4. Step 4: Simplify right side
    2,875.97x = 4,003,710.44
  5. Step 5: Solve for x
    x = 4,003,710.44/2,875.97
  6. Step 6: Final answer
    x = 1,392.13

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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.