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Finding the Fourth Proportional to 7,307.84, 10,959.60 and 6,138.20

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Solution

The fourth proportional to 7,307.84, 10,959.60 and 6,138.20 is: 9,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.84 : 10,959.60 = 6,138.20 : x
  2. Step 2: Convert to fraction form
    7,307.84/10,959.60 = 6,138.20/x
  3. Step 3: Cross multiply
    7,307.84x = 10,959.60 × 6,138.20
  4. Step 4: Simplify right side
    7,307.84x = 67,272,216.72
  5. Step 5: Solve for x
    x = 67,272,216.72/7,307.84
  6. Step 6: Final answer
    x = 9,205.49

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1.5x scale

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.