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Finding the Fourth Proportional to 3,210.72, 4,811.40 and 1,565.40

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Solution

The fourth proportional to 3,210.72, 4,811.40 and 1,565.40 is: 2,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.72 : 4,811.40 = 1,565.40 : x
  2. Step 2: Convert to fraction form
    3,210.72/4,811.40 = 1,565.40/x
  3. Step 3: Cross multiply
    3,210.72x = 4,811.40 × 1,565.40
  4. Step 4: Simplify right side
    3,210.72x = 7,531,765.56
  5. Step 5: Solve for x
    x = 7,531,765.56/3,210.72
  6. Step 6: Final answer
    x = 2,345.82

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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.