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Finding the Fourth Proportional to 10,369.16, 15,553.80 and 2,578

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Solution

The fourth proportional to 10,369.16, 15,553.80 and 2,578 is: 3,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.16 : 15,553.80 = 2,578 : x
  2. Step 2: Convert to fraction form
    10,369.16/15,553.80 = 2,578/x
  3. Step 3: Cross multiply
    10,369.16x = 15,553.80 × 2,578
  4. Step 4: Simplify right side
    10,369.16x = 40,097,696.40
  5. Step 5: Solve for x
    x = 40,097,696.40/10,369.16
  6. Step 6: Final answer
    x = 3,867.01

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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.