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Finding the Fourth Proportional to 9,374.40, 12,930.66 and 7,384.14

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Solution

The fourth proportional to 9,374.40, 12,930.66 and 7,384.14 is: 10,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.40 : 12,930.66 = 7,384.14 : x
  2. Step 2: Convert to fraction form
    9,374.40/12,930.66 = 7,384.14/x
  3. Step 3: Cross multiply
    9,374.40x = 12,930.66 × 7,384.14
  4. Step 4: Simplify right side
    9,374.40x = 95,481,803.73
  5. Step 5: Solve for x
    x = 95,481,803.73/9,374.40
  6. Step 6: Final answer
    x = 10,185.38

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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.