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Finding the Fourth Proportional to 7,821, 10,801.80 and 5,180.04

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Solution

The fourth proportional to 7,821, 10,801.80 and 5,180.04 is: 7,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821 : 10,801.80 = 5,180.04 : x
  2. Step 2: Convert to fraction form
    7,821/10,801.80 = 5,180.04/x
  3. Step 3: Cross multiply
    7,821x = 10,801.80 × 5,180.04
  4. Step 4: Simplify right side
    7,821x = 55,953,756.07
  5. Step 5: Solve for x
    x = 55,953,756.07/7,821
  6. Step 6: Final answer
    x = 7,154.30

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1.5x scale

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.