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Finding the Fourth Proportional to 7,851.50, 10,829.62 and 5,332.20

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Solution

The fourth proportional to 7,851.50, 10,829.62 and 5,332.20 is: 7,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.50 : 10,829.62 = 5,332.20 : x
  2. Step 2: Convert to fraction form
    7,851.50/10,829.62 = 5,332.20/x
  3. Step 3: Cross multiply
    7,851.50x = 10,829.62 × 5,332.20
  4. Step 4: Simplify right side
    7,851.50x = 57,745,699.76
  5. Step 5: Solve for x
    x = 57,745,699.76/7,851.50
  6. Step 6: Final answer
    x = 7,354.73

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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.