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Finding the Fourth Proportional to 2,984.50, 4,118.61 and 1,742.50

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Solution

The fourth proportional to 2,984.50, 4,118.61 and 1,742.50 is: 2,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.50 : 4,118.61 = 1,742.50 : x
  2. Step 2: Convert to fraction form
    2,984.50/4,118.61 = 1,742.50/x
  3. Step 3: Cross multiply
    2,984.50x = 4,118.61 × 1,742.50
  4. Step 4: Simplify right side
    2,984.50x = 7,176,677.93
  5. Step 5: Solve for x
    x = 7,176,677.93/2,984.50
  6. Step 6: Final answer
    x = 2,404.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.