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Finding the Fourth Proportional to 4,689.76, 7,035.12 and 2,057.50

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Solution

The fourth proportional to 4,689.76, 7,035.12 and 2,057.50 is: 3,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.76 : 7,035.12 = 2,057.50 : x
  2. Step 2: Convert to fraction form
    4,689.76/7,035.12 = 2,057.50/x
  3. Step 3: Cross multiply
    4,689.76x = 7,035.12 × 2,057.50
  4. Step 4: Simplify right side
    4,689.76x = 14,474,759.40
  5. Step 5: Solve for x
    x = 14,474,759.40/4,689.76
  6. Step 6: Final answer
    x = 3,086.46

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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.