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Finding the Fourth Proportional to 3,064.68, 4,596.72 and 813.08

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Solution

The fourth proportional to 3,064.68, 4,596.72 and 813.08 is: 1,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.68 : 4,596.72 = 813.08 : x
  2. Step 2: Convert to fraction form
    3,064.68/4,596.72 = 813.08/x
  3. Step 3: Cross multiply
    3,064.68x = 4,596.72 × 813.08
  4. Step 4: Simplify right side
    3,064.68x = 3,737,501.10
  5. Step 5: Solve for x
    x = 3,737,501.10/3,064.68
  6. Step 6: Final answer
    x = 1,219.54

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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.