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Finding the Fourth Proportional to 3,487, 5,232.30 and 2,317.81

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Solution

The fourth proportional to 3,487, 5,232.30 and 2,317.81 is: 3,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487 : 5,232.30 = 2,317.81 : x
  2. Step 2: Convert to fraction form
    3,487/5,232.30 = 2,317.81/x
  3. Step 3: Cross multiply
    3,487x = 5,232.30 × 2,317.81
  4. Step 4: Simplify right side
    3,487x = 12,127,477.26
  5. Step 5: Solve for x
    x = 12,127,477.26/3,487
  6. Step 6: Final answer
    x = 3,477.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.