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Finding the Fourth Proportional to 9,905.74, 14,861.09 and 6,989.74

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Solution

The fourth proportional to 9,905.74, 14,861.09 and 6,989.74 is: 10,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.74 : 14,861.09 = 6,989.74 : x
  2. Step 2: Convert to fraction form
    9,905.74/14,861.09 = 6,989.74/x
  3. Step 3: Cross multiply
    9,905.74x = 14,861.09 × 6,989.74
  4. Step 4: Simplify right side
    9,905.74x = 103,875,155.22
  5. Step 5: Solve for x
    x = 103,875,155.22/9,905.74
  6. Step 6: Final answer
    x = 10,486.36

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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.