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Finding the Fourth Proportional to 7,380, 10,184.28 and 4,395.78

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Solution

The fourth proportional to 7,380, 10,184.28 and 4,395.78 is: 6,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380 : 10,184.28 = 4,395.78 : x
  2. Step 2: Convert to fraction form
    7,380/10,184.28 = 4,395.78/x
  3. Step 3: Cross multiply
    7,380x = 10,184.28 × 4,395.78
  4. Step 4: Simplify right side
    7,380x = 44,767,854.34
  5. Step 5: Solve for x
    x = 44,767,854.34/7,380
  6. Step 6: Final answer
    x = 6,066.10

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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.