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Finding the Fourth Proportional to 6,390.23, 9,584.53 and 4,749.17

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Solution

The fourth proportional to 6,390.23, 9,584.53 and 4,749.17 is: 7,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.23 : 9,584.53 = 4,749.17 : x
  2. Step 2: Convert to fraction form
    6,390.23/9,584.53 = 4,749.17/x
  3. Step 3: Cross multiply
    6,390.23x = 9,584.53 × 4,749.17
  4. Step 4: Simplify right side
    6,390.23x = 45,518,562.34
  5. Step 5: Solve for x
    x = 45,518,562.34/6,390.23
  6. Step 6: Final answer
    x = 7,123.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.