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Finding the Fourth Proportional to 7,871.68, 11,802.24 and 2,935.36

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Solution

The fourth proportional to 7,871.68, 11,802.24 and 2,935.36 is: 4,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.68 : 11,802.24 = 2,935.36 : x
  2. Step 2: Convert to fraction form
    7,871.68/11,802.24 = 2,935.36/x
  3. Step 3: Cross multiply
    7,871.68x = 11,802.24 × 2,935.36
  4. Step 4: Simplify right side
    7,871.68x = 34,643,823.21
  5. Step 5: Solve for x
    x = 34,643,823.21/7,871.68
  6. Step 6: Final answer
    x = 4,401.07

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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.