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Finding the Fourth Proportional to 2,330, 3,216.12 and 1,502

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Solution

The fourth proportional to 2,330, 3,216.12 and 1,502 is: 2,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330 : 3,216.12 = 1,502 : x
  2. Step 2: Convert to fraction form
    2,330/3,216.12 = 1,502/x
  3. Step 3: Cross multiply
    2,330x = 3,216.12 × 1,502
  4. Step 4: Simplify right side
    2,330x = 4,830,612.24
  5. Step 5: Solve for x
    x = 4,830,612.24/2,330
  6. Step 6: Final answer
    x = 2,073.22

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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.