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Finding the Fourth Proportional to 9,697.15, 13,382.08 and 5,505.40

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Solution

The fourth proportional to 9,697.15, 13,382.08 and 5,505.40 is: 7,597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.15 : 13,382.08 = 5,505.40 : x
  2. Step 2: Convert to fraction form
    9,697.15/13,382.08 = 5,505.40/x
  3. Step 3: Cross multiply
    9,697.15x = 13,382.08 × 5,505.40
  4. Step 4: Simplify right side
    9,697.15x = 73,673,706.20
  5. Step 5: Solve for x
    x = 73,673,706.20/9,697.15
  6. Step 6: Final answer
    x = 7,597.46

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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.