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Finding the Fourth Proportional to 9,307.54, 12,844.08 and 5,115.76

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Solution

The fourth proportional to 9,307.54, 12,844.08 and 5,115.76 is: 7,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.54 : 12,844.08 = 5,115.76 : x
  2. Step 2: Convert to fraction form
    9,307.54/12,844.08 = 5,115.76/x
  3. Step 3: Cross multiply
    9,307.54x = 12,844.08 × 5,115.76
  4. Step 4: Simplify right side
    9,307.54x = 65,707,230.70
  5. Step 5: Solve for x
    x = 65,707,230.70/9,307.54
  6. Step 6: Final answer
    x = 7,059.57

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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.