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Finding the Fourth Proportional to 7,245.86, 10,870 and 2,315.12

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Solution

The fourth proportional to 7,245.86, 10,870 and 2,315.12 is: 3,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.86 : 10,870 = 2,315.12 : x
  2. Step 2: Convert to fraction form
    7,245.86/10,870 = 2,315.12/x
  3. Step 3: Cross multiply
    7,245.86x = 10,870 × 2,315.12
  4. Step 4: Simplify right side
    7,245.86x = 25,165,354.40
  5. Step 5: Solve for x
    x = 25,165,354.40/7,245.86
  6. Step 6: Final answer
    x = 3,473.07

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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.