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Finding the Fourth Proportional to 13,575.96, 18,733.08 and 7,912.52

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Solution

The fourth proportional to 13,575.96, 18,733.08 and 7,912.52 is: 10,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.96 : 18,733.08 = 7,912.52 : x
  2. Step 2: Convert to fraction form
    13,575.96/18,733.08 = 7,912.52/x
  3. Step 3: Cross multiply
    13,575.96x = 18,733.08 × 7,912.52
  4. Step 4: Simplify right side
    13,575.96x = 148,225,870.16
  5. Step 5: Solve for x
    x = 148,225,870.16/13,575.96
  6. Step 6: Final answer
    x = 10,918.26

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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.