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Finding the Fourth Proportional to 12,390, 17,099.10 and 7,084.68

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Solution

The fourth proportional to 12,390, 17,099.10 and 7,084.68 is: 9,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,390 : 17,099.10 = 7,084.68 : x
  2. Step 2: Convert to fraction form
    12,390/17,099.10 = 7,084.68/x
  3. Step 3: Cross multiply
    12,390x = 17,099.10 × 7,084.68
  4. Step 4: Simplify right side
    12,390x = 121,141,651.79
  5. Step 5: Solve for x
    x = 121,141,651.79/12,390
  6. Step 6: Final answer
    x = 9,777.37

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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.