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Finding the Fourth Proportional to 6,978.16, 10,470.84 and 4,639.80

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Solution

The fourth proportional to 6,978.16, 10,470.84 and 4,639.80 is: 6,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.16 : 10,470.84 = 4,639.80 : x
  2. Step 2: Convert to fraction form
    6,978.16/10,470.84 = 4,639.80/x
  3. Step 3: Cross multiply
    6,978.16x = 10,470.84 × 4,639.80
  4. Step 4: Simplify right side
    6,978.16x = 48,582,603.43
  5. Step 5: Solve for x
    x = 48,582,603.43/6,978.16
  6. Step 6: Final answer
    x = 6,962.09

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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.