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Finding the Fourth Proportional to 7,399, 10,210.62 and 4,087

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Solution

The fourth proportional to 7,399, 10,210.62 and 4,087 is: 5,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399 : 10,210.62 = 4,087 : x
  2. Step 2: Convert to fraction form
    7,399/10,210.62 = 4,087/x
  3. Step 3: Cross multiply
    7,399x = 10,210.62 × 4,087
  4. Step 4: Simplify right side
    7,399x = 41,730,803.94
  5. Step 5: Solve for x
    x = 41,730,803.94/7,399
  6. Step 6: Final answer
    x = 5,640.06

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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.