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Finding the Fourth Proportional to 2,124.40, 3,187.06 and 643.50

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Solution

The fourth proportional to 2,124.40, 3,187.06 and 643.50 is: 965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.40 : 3,187.06 = 643.50 : x
  2. Step 2: Convert to fraction form
    2,124.40/3,187.06 = 643.50/x
  3. Step 3: Cross multiply
    2,124.40x = 3,187.06 × 643.50
  4. Step 4: Simplify right side
    2,124.40x = 2,050,871.50
  5. Step 5: Solve for x
    x = 2,050,871.50/2,124.40
  6. Step 6: Final answer
    x = 965.39

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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.