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Finding the Fourth Proportional to 7,197.57, 9,904.01 and 7,152.21

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Solution

The fourth proportional to 7,197.57, 9,904.01 and 7,152.21 is: 9,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.57 : 9,904.01 = 7,152.21 : x
  2. Step 2: Convert to fraction form
    7,197.57/9,904.01 = 7,152.21/x
  3. Step 3: Cross multiply
    7,197.57x = 9,904.01 × 7,152.21
  4. Step 4: Simplify right side
    7,197.57x = 70,835,523.60
  5. Step 5: Solve for x
    x = 70,835,523.60/7,197.57
  6. Step 6: Final answer
    x = 9,841.59

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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.