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Finding the Fourth Proportional to 10,684.81, 14,744.95 and 5,905.07

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Solution

The fourth proportional to 10,684.81, 14,744.95 and 5,905.07 is: 8,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.81 : 14,744.95 = 5,905.07 : x
  2. Step 2: Convert to fraction form
    10,684.81/14,744.95 = 5,905.07/x
  3. Step 3: Cross multiply
    10,684.81x = 14,744.95 × 5,905.07
  4. Step 4: Simplify right side
    10,684.81x = 87,069,961.90
  5. Step 5: Solve for x
    x = 87,069,961.90/10,684.81
  6. Step 6: Final answer
    x = 8,148.95

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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.