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Finding the Fourth Proportional to 4,121, 5,686.98 and 2,465

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Solution

The fourth proportional to 4,121, 5,686.98 and 2,465 is: 3,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121 : 5,686.98 = 2,465 : x
  2. Step 2: Convert to fraction form
    4,121/5,686.98 = 2,465/x
  3. Step 3: Cross multiply
    4,121x = 5,686.98 × 2,465
  4. Step 4: Simplify right side
    4,121x = 14,018,405.70
  5. Step 5: Solve for x
    x = 14,018,405.70/4,121
  6. Step 6: Final answer
    x = 3,401.70

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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.