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Finding the Fourth Proportional to 9,318.12, 13,978.74 and 4,638.38

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Solution

The fourth proportional to 9,318.12, 13,978.74 and 4,638.38 is: 6,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.12 : 13,978.74 = 4,638.38 : x
  2. Step 2: Convert to fraction form
    9,318.12/13,978.74 = 4,638.38/x
  3. Step 3: Cross multiply
    9,318.12x = 13,978.74 × 4,638.38
  4. Step 4: Simplify right side
    9,318.12x = 64,838,708.04
  5. Step 5: Solve for x
    x = 64,838,708.04/9,318.12
  6. Step 6: Final answer
    x = 6,958.35

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1.5x scale

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.