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Finding the Fourth Proportional to 7,822, 10,803.18 and 5,181.04

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Solution

The fourth proportional to 7,822, 10,803.18 and 5,181.04 is: 7,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822 : 10,803.18 = 5,181.04 : x
  2. Step 2: Convert to fraction form
    7,822/10,803.18 = 5,181.04/x
  3. Step 3: Cross multiply
    7,822x = 10,803.18 × 5,181.04
  4. Step 4: Simplify right side
    7,822x = 55,971,707.71
  5. Step 5: Solve for x
    x = 55,971,707.71/7,822
  6. Step 6: Final answer
    x = 7,155.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.