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Finding the Fourth Proportional to 21,097.49, 31,639.84 and 7,053.91

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Solution

The fourth proportional to 21,097.49, 31,639.84 and 7,053.91 is: 10,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.49 : 31,639.84 = 7,053.91 : x
  2. Step 2: Convert to fraction form
    21,097.49/31,639.84 = 7,053.91/x
  3. Step 3: Cross multiply
    21,097.49x = 31,639.84 × 7,053.91
  4. Step 4: Simplify right side
    21,097.49x = 223,184,487.04
  5. Step 5: Solve for x
    x = 223,184,487.04/21,097.49
  6. Step 6: Final answer
    x = 10,578.72

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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.