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Finding the Fourth Proportional to 8,378, 11,561.88 and 4,652.24

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Solution

The fourth proportional to 8,378, 11,561.88 and 4,652.24 is: 6,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378 : 11,561.88 = 4,652.24 : x
  2. Step 2: Convert to fraction form
    8,378/11,561.88 = 4,652.24/x
  3. Step 3: Cross multiply
    8,378x = 11,561.88 × 4,652.24
  4. Step 4: Simplify right side
    8,378x = 53,788,640.61
  5. Step 5: Solve for x
    x = 53,788,640.61/8,378
  6. Step 6: Final answer
    x = 6,420.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.