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Finding the Fourth Proportional to 7,238.16, 9,968.40 and 6,242.94

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Solution

The fourth proportional to 7,238.16, 9,968.40 and 6,242.94 is: 8,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.16 : 9,968.40 = 6,242.94 : x
  2. Step 2: Convert to fraction form
    7,238.16/9,968.40 = 6,242.94/x
  3. Step 3: Cross multiply
    7,238.16x = 9,968.40 × 6,242.94
  4. Step 4: Simplify right side
    7,238.16x = 62,232,123.10
  5. Step 5: Solve for x
    x = 62,232,123.10/7,238.16
  6. Step 6: Final answer
    x = 8,597.78

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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.