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Finding the Fourth Proportional to 7,037, 9,711.22 and 4,557.32

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Solution

The fourth proportional to 7,037, 9,711.22 and 4,557.32 is: 6,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037 : 9,711.22 = 4,557.32 : x
  2. Step 2: Convert to fraction form
    7,037/9,711.22 = 4,557.32/x
  3. Step 3: Cross multiply
    7,037x = 9,711.22 × 4,557.32
  4. Step 4: Simplify right side
    7,037x = 44,257,137.13
  5. Step 5: Solve for x
    x = 44,257,137.13/7,037
  6. Step 6: Final answer
    x = 6,289.21

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Why These Related Problems?

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