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Finding the Fourth Proportional to 4,991.71, 7,477.02 and 3,011.17

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Solution

The fourth proportional to 4,991.71, 7,477.02 and 3,011.17 is: 4,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.71 : 7,477.02 = 3,011.17 : x
  2. Step 2: Convert to fraction form
    4,991.71/7,477.02 = 3,011.17/x
  3. Step 3: Cross multiply
    4,991.71x = 7,477.02 × 3,011.17
  4. Step 4: Simplify right side
    4,991.71x = 22,514,578.31
  5. Step 5: Solve for x
    x = 22,514,578.31/4,991.71
  6. Step 6: Final answer
    x = 4,510.39

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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.