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Finding the Fourth Proportional to 2,810.59, 4,215.08 and 836.13

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Solution

The fourth proportional to 2,810.59, 4,215.08 and 836.13 is: 1,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.59 : 4,215.08 = 836.13 : x
  2. Step 2: Convert to fraction form
    2,810.59/4,215.08 = 836.13/x
  3. Step 3: Cross multiply
    2,810.59x = 4,215.08 × 836.13
  4. Step 4: Simplify right side
    2,810.59x = 3,524,368.03
  5. Step 5: Solve for x
    x = 3,524,368.03/2,810.59
  6. Step 6: Final answer
    x = 1,253.96

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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.