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Finding the Fourth Proportional to 2,844.29, 4,266.98 and 870.05

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Solution

The fourth proportional to 2,844.29, 4,266.98 and 870.05 is: 1,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.29 : 4,266.98 = 870.05 : x
  2. Step 2: Convert to fraction form
    2,844.29/4,266.98 = 870.05/x
  3. Step 3: Cross multiply
    2,844.29x = 4,266.98 × 870.05
  4. Step 4: Simplify right side
    2,844.29x = 3,712,485.95
  5. Step 5: Solve for x
    x = 3,712,485.95/2,844.29
  6. Step 6: Final answer
    x = 1,305.24

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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.