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Finding the Fourth Proportional to 11,369.61, 17,057.16 and 3,578.40

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Solution

The fourth proportional to 11,369.61, 17,057.16 and 3,578.40 is: 5,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.61 : 17,057.16 = 3,578.40 : x
  2. Step 2: Convert to fraction form
    11,369.61/17,057.16 = 3,578.40/x
  3. Step 3: Cross multiply
    11,369.61x = 17,057.16 × 3,578.40
  4. Step 4: Simplify right side
    11,369.61x = 61,037,341.34
  5. Step 5: Solve for x
    x = 61,037,341.34/11,369.61
  6. Step 6: Final answer
    x = 5,368.46

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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.