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Finding the Fourth Proportional to 9,697.26, 13,390.11 and 7,905.02

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Solution

The fourth proportional to 9,697.26, 13,390.11 and 7,905.02 is: 10,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.26 : 13,390.11 = 7,905.02 : x
  2. Step 2: Convert to fraction form
    9,697.26/13,390.11 = 7,905.02/x
  3. Step 3: Cross multiply
    9,697.26x = 13,390.11 × 7,905.02
  4. Step 4: Simplify right side
    9,697.26x = 105,849,087.35
  5. Step 5: Solve for x
    x = 105,849,087.35/9,697.26
  6. Step 6: Final answer
    x = 10,915.36

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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.