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Finding the Fourth Proportional to 7,053, 10,578.28 and 3,305.16

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Solution

The fourth proportional to 7,053, 10,578.28 and 3,305.16 is: 4,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053 : 10,578.28 = 3,305.16 : x
  2. Step 2: Convert to fraction form
    7,053/10,578.28 = 3,305.16/x
  3. Step 3: Cross multiply
    7,053x = 10,578.28 × 3,305.16
  4. Step 4: Simplify right side
    7,053x = 34,962,907.92
  5. Step 5: Solve for x
    x = 34,962,907.92/7,053
  6. Step 6: Final answer
    x = 4,957.17

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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.