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Finding the Fourth Proportional to 9,734.80, 13,405.72 and 8,458.08

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Solution

The fourth proportional to 9,734.80, 13,405.72 and 8,458.08 is: 11,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.80 : 13,405.72 = 8,458.08 : x
  2. Step 2: Convert to fraction form
    9,734.80/13,405.72 = 8,458.08/x
  3. Step 3: Cross multiply
    9,734.80x = 13,405.72 × 8,458.08
  4. Step 4: Simplify right side
    9,734.80x = 113,386,652.22
  5. Step 5: Solve for x
    x = 113,386,652.22/9,734.80
  6. Step 6: Final answer
    x = 11,647.56

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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.