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Finding the Fourth Proportional to 12,307.74, 18,432.18 and 7,097.82

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Solution

The fourth proportional to 12,307.74, 18,432.18 and 7,097.82 is: 10,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.74 : 18,432.18 = 7,097.82 : x
  2. Step 2: Convert to fraction form
    12,307.74/18,432.18 = 7,097.82/x
  3. Step 3: Cross multiply
    12,307.74x = 18,432.18 × 7,097.82
  4. Step 4: Simplify right side
    12,307.74x = 130,828,295.85
  5. Step 5: Solve for x
    x = 130,828,295.85/12,307.74
  6. Step 6: Final answer
    x = 10,629.76

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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.