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Finding the Fourth Proportional to 6,989.61, 9,640.62 and 4,004.36

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Solution

The fourth proportional to 6,989.61, 9,640.62 and 4,004.36 is: 5,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.61 : 9,640.62 = 4,004.36 : x
  2. Step 2: Convert to fraction form
    6,989.61/9,640.62 = 4,004.36/x
  3. Step 3: Cross multiply
    6,989.61x = 9,640.62 × 4,004.36
  4. Step 4: Simplify right side
    6,989.61x = 38,604,501.05
  5. Step 5: Solve for x
    x = 38,604,501.05/6,989.61
  6. Step 6: Final answer
    x = 5,523.12

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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.