Home / 7,812.48-10,769.12-5,820

Finding the Fourth Proportional to 7,812.48, 10,769.12 and 5,820

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Solution

The fourth proportional to 7,812.48, 10,769.12 and 5,820 is: 8,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.48 : 10,769.12 = 5,820 : x
  2. Step 2: Convert to fraction form
    7,812.48/10,769.12 = 5,820/x
  3. Step 3: Cross multiply
    7,812.48x = 10,769.12 × 5,820
  4. Step 4: Simplify right side
    7,812.48x = 62,676,278.40
  5. Step 5: Solve for x
    x = 62,676,278.40/7,812.48
  6. Step 6: Final answer
    x = 8,022.58

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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.