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Finding the Fourth Proportional to 7,731.21, 10,662.03 and 6,538.70

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Solution

The fourth proportional to 7,731.21, 10,662.03 and 6,538.70 is: 9,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.21 : 10,662.03 = 6,538.70 : x
  2. Step 2: Convert to fraction form
    7,731.21/10,662.03 = 6,538.70/x
  3. Step 3: Cross multiply
    7,731.21x = 10,662.03 × 6,538.70
  4. Step 4: Simplify right side
    7,731.21x = 69,715,762.25
  5. Step 5: Solve for x
    x = 69,715,762.25/7,731.21
  6. Step 6: Final answer
    x = 9,017.45

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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.