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Finding the Fourth Proportional to 5,470.16, 8,205.24 and 2,390

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Solution

The fourth proportional to 5,470.16, 8,205.24 and 2,390 is: 3,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.16 : 8,205.24 = 2,390 : x
  2. Step 2: Convert to fraction form
    5,470.16/8,205.24 = 2,390/x
  3. Step 3: Cross multiply
    5,470.16x = 8,205.24 × 2,390
  4. Step 4: Simplify right side
    5,470.16x = 19,610,523.60
  5. Step 5: Solve for x
    x = 19,610,523.60/5,470.16
  6. Step 6: Final answer
    x = 3,585.00

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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.