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Finding the Fourth Proportional to 9,914.68, 13,683.14 and 5,439.31

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Solution

The fourth proportional to 9,914.68, 13,683.14 and 5,439.31 is: 7,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.68 : 13,683.14 = 5,439.31 : x
  2. Step 2: Convert to fraction form
    9,914.68/13,683.14 = 5,439.31/x
  3. Step 3: Cross multiply
    9,914.68x = 13,683.14 × 5,439.31
  4. Step 4: Simplify right side
    9,914.68x = 74,426,744.62
  5. Step 5: Solve for x
    x = 74,426,744.62/9,914.68
  6. Step 6: Final answer
    x = 7,506.72

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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.