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Finding the Fourth Proportional to 7,821.99, 11,737.53 and 4,707.99

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Solution

The fourth proportional to 7,821.99, 11,737.53 and 4,707.99 is: 7,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.99 : 11,737.53 = 4,707.99 : x
  2. Step 2: Convert to fraction form
    7,821.99/11,737.53 = 4,707.99/x
  3. Step 3: Cross multiply
    7,821.99x = 11,737.53 × 4,707.99
  4. Step 4: Simplify right side
    7,821.99x = 55,260,173.86
  5. Step 5: Solve for x
    x = 55,260,173.86/7,821.99
  6. Step 6: Final answer
    x = 7,064.72

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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.