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Finding the Fourth Proportional to 4,232, 6,347.88 and 1,891.40

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Solution

The fourth proportional to 4,232, 6,347.88 and 1,891.40 is: 2,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232 : 6,347.88 = 1,891.40 : x
  2. Step 2: Convert to fraction form
    4,232/6,347.88 = 1,891.40/x
  3. Step 3: Cross multiply
    4,232x = 6,347.88 × 1,891.40
  4. Step 4: Simplify right side
    4,232x = 12,006,380.23
  5. Step 5: Solve for x
    x = 12,006,380.23/4,232
  6. Step 6: Final answer
    x = 2,837.05

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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.