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Finding the Fourth Proportional to 9,147.50, 13,703.72 and 5,438.50

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Solution

The fourth proportional to 9,147.50, 13,703.72 and 5,438.50 is: 8,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.50 : 13,703.72 = 5,438.50 : x
  2. Step 2: Convert to fraction form
    9,147.50/13,703.72 = 5,438.50/x
  3. Step 3: Cross multiply
    9,147.50x = 13,703.72 × 5,438.50
  4. Step 4: Simplify right side
    9,147.50x = 74,527,681.22
  5. Step 5: Solve for x
    x = 74,527,681.22/9,147.50
  6. Step 6: Final answer
    x = 8,147.33

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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.