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Finding the Fourth Proportional to 7,493.74, 11,185.03 and 6,488.60

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Solution

The fourth proportional to 7,493.74, 11,185.03 and 6,488.60 is: 9,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.74 : 11,185.03 = 6,488.60 : x
  2. Step 2: Convert to fraction form
    7,493.74/11,185.03 = 6,488.60/x
  3. Step 3: Cross multiply
    7,493.74x = 11,185.03 × 6,488.60
  4. Step 4: Simplify right side
    7,493.74x = 72,575,137.84
  5. Step 5: Solve for x
    x = 72,575,137.84/7,493.74
  6. Step 6: Final answer
    x = 9,684.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.