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Finding the Fourth Proportional to 6,998.45, 9,671.81 and 5,737.55

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Solution

The fourth proportional to 6,998.45, 9,671.81 and 5,737.55 is: 7,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.45 : 9,671.81 = 5,737.55 : x
  2. Step 2: Convert to fraction form
    6,998.45/9,671.81 = 5,737.55/x
  3. Step 3: Cross multiply
    6,998.45x = 9,671.81 × 5,737.55
  4. Step 4: Simplify right side
    6,998.45x = 55,492,416.42
  5. Step 5: Solve for x
    x = 55,492,416.42/6,998.45
  6. Step 6: Final answer
    x = 7,929.25

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1.5x scale

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.