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Finding the Fourth Proportional to 11,688.57, 17,526.78 and 9,019.35

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Solution

The fourth proportional to 11,688.57, 17,526.78 and 9,019.35 is: 13,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.57 : 17,526.78 = 9,019.35 : x
  2. Step 2: Convert to fraction form
    11,688.57/17,526.78 = 9,019.35/x
  3. Step 3: Cross multiply
    11,688.57x = 17,526.78 × 9,019.35
  4. Step 4: Simplify right side
    11,688.57x = 158,080,163.19
  5. Step 5: Solve for x
    x = 158,080,163.19/11,688.57
  6. Step 6: Final answer
    x = 13,524.34

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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.