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Finding the Fourth Proportional to 4,749.81, 7,124.51 and 4,638.57

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Solution

The fourth proportional to 4,749.81, 7,124.51 and 4,638.57 is: 6,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.81 : 7,124.51 = 4,638.57 : x
  2. Step 2: Convert to fraction form
    4,749.81/7,124.51 = 4,638.57/x
  3. Step 3: Cross multiply
    4,749.81x = 7,124.51 × 4,638.57
  4. Step 4: Simplify right side
    4,749.81x = 33,047,549.95
  5. Step 5: Solve for x
    x = 33,047,549.95/4,749.81
  6. Step 6: Final answer
    x = 6,957.66

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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.