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Finding the Fourth Proportional to 2,858.10, 4,287.15 and 1,009.20

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Solution

The fourth proportional to 2,858.10, 4,287.15 and 1,009.20 is: 1,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.10 : 4,287.15 = 1,009.20 : x
  2. Step 2: Convert to fraction form
    2,858.10/4,287.15 = 1,009.20/x
  3. Step 3: Cross multiply
    2,858.10x = 4,287.15 × 1,009.20
  4. Step 4: Simplify right side
    2,858.10x = 4,326,591.78
  5. Step 5: Solve for x
    x = 4,326,591.78/2,858.10
  6. Step 6: Final answer
    x = 1,513.80

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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.