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Finding the Fourth Proportional to 9,697.84, 13,379.12 and 6,339.60

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Solution

The fourth proportional to 9,697.84, 13,379.12 and 6,339.60 is: 8,746.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.84 : 13,379.12 = 6,339.60 : x
  2. Step 2: Convert to fraction form
    9,697.84/13,379.12 = 6,339.60/x
  3. Step 3: Cross multiply
    9,697.84x = 13,379.12 × 6,339.60
  4. Step 4: Simplify right side
    9,697.84x = 84,818,269.15
  5. Step 5: Solve for x
    x = 84,818,269.15/9,697.84
  6. Step 6: Final answer
    x = 8,746.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.