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Finding the Fourth Proportional to 7,257, 10,009 and 4,866.18

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Solution

The fourth proportional to 7,257, 10,009 and 4,866.18 is: 6,711.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257 : 10,009 = 4,866.18 : x
  2. Step 2: Convert to fraction form
    7,257/10,009 = 4,866.18/x
  3. Step 3: Cross multiply
    7,257x = 10,009 × 4,866.18
  4. Step 4: Simplify right side
    7,257x = 48,705,595.62
  5. Step 5: Solve for x
    x = 48,705,595.62/7,257
  6. Step 6: Final answer
    x = 6,711.53

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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.