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Finding the Fourth Proportional to 6,989.64, 10,491.54 and 6,204.12

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Solution

The fourth proportional to 6,989.64, 10,491.54 and 6,204.12 is: 9,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.64 : 10,491.54 = 6,204.12 : x
  2. Step 2: Convert to fraction form
    6,989.64/10,491.54 = 6,204.12/x
  3. Step 3: Cross multiply
    6,989.64x = 10,491.54 × 6,204.12
  4. Step 4: Simplify right side
    6,989.64x = 65,090,773.14
  5. Step 5: Solve for x
    x = 65,090,773.14/6,989.64
  6. Step 6: Final answer
    x = 9,312.46

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1.5x scale

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.