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Finding the Fourth Proportional to 8,260, 12,390 and 5,184.16

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Solution

The fourth proportional to 8,260, 12,390 and 5,184.16 is: 7,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260 : 12,390 = 5,184.16 : x
  2. Step 2: Convert to fraction form
    8,260/12,390 = 5,184.16/x
  3. Step 3: Cross multiply
    8,260x = 12,390 × 5,184.16
  4. Step 4: Simplify right side
    8,260x = 64,231,742.40
  5. Step 5: Solve for x
    x = 64,231,742.40/8,260
  6. Step 6: Final answer
    x = 7,776.24

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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.