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Finding the Fourth Proportional to 5,542.32, 7,681.44 and 5,438.64

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Solution

The fourth proportional to 5,542.32, 7,681.44 and 5,438.64 is: 7,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.32 : 7,681.44 = 5,438.64 : x
  2. Step 2: Convert to fraction form
    5,542.32/7,681.44 = 5,438.64/x
  3. Step 3: Cross multiply
    5,542.32x = 7,681.44 × 5,438.64
  4. Step 4: Simplify right side
    5,542.32x = 41,776,586.84
  5. Step 5: Solve for x
    x = 41,776,586.84/5,542.32
  6. Step 6: Final answer
    x = 7,537.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.