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Finding the Fourth Proportional to 3,318.76, 4,978.20 and 853.59

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Solution

The fourth proportional to 3,318.76, 4,978.20 and 853.59 is: 1,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.76 : 4,978.20 = 853.59 : x
  2. Step 2: Convert to fraction form
    3,318.76/4,978.20 = 853.59/x
  3. Step 3: Cross multiply
    3,318.76x = 4,978.20 × 853.59
  4. Step 4: Simplify right side
    3,318.76x = 4,249,341.74
  5. Step 5: Solve for x
    x = 4,249,341.74/3,318.76
  6. Step 6: Final answer
    x = 1,280.40

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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.