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Finding the Fourth Proportional to 2,373.12, 3,559.86 and 813.06

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Solution

The fourth proportional to 2,373.12, 3,559.86 and 813.06 is: 1,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.12 : 3,559.86 = 813.06 : x
  2. Step 2: Convert to fraction form
    2,373.12/3,559.86 = 813.06/x
  3. Step 3: Cross multiply
    2,373.12x = 3,559.86 × 813.06
  4. Step 4: Simplify right side
    2,373.12x = 2,894,379.77
  5. Step 5: Solve for x
    x = 2,894,379.77/2,373.12
  6. Step 6: Final answer
    x = 1,219.65

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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.