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Finding the Fourth Proportional to 2,415, 3,332.70 and 1,311

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Solution

The fourth proportional to 2,415, 3,332.70 and 1,311 is: 1,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415 : 3,332.70 = 1,311 : x
  2. Step 2: Convert to fraction form
    2,415/3,332.70 = 1,311/x
  3. Step 3: Cross multiply
    2,415x = 3,332.70 × 1,311
  4. Step 4: Simplify right side
    2,415x = 4,369,169.70
  5. Step 5: Solve for x
    x = 4,369,169.70/2,415
  6. Step 6: Final answer
    x = 1,809.18

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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.