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Finding the Fourth Proportional to 4,769.99, 7,153.62 and 1,438.10

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Solution

The fourth proportional to 4,769.99, 7,153.62 and 1,438.10 is: 2,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.99 : 7,153.62 = 1,438.10 : x
  2. Step 2: Convert to fraction form
    4,769.99/7,153.62 = 1,438.10/x
  3. Step 3: Cross multiply
    4,769.99x = 7,153.62 × 1,438.10
  4. Step 4: Simplify right side
    4,769.99x = 10,287,646.83
  5. Step 5: Solve for x
    x = 10,287,646.83/4,769.99
  6. Step 6: Final answer
    x = 2,156.74

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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.