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Finding the Fourth Proportional to 13,602.66, 20,384.55 and 7,747.17

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Solution

The fourth proportional to 13,602.66, 20,384.55 and 7,747.17 is: 11,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.66 : 20,384.55 = 7,747.17 : x
  2. Step 2: Convert to fraction form
    13,602.66/20,384.55 = 7,747.17/x
  3. Step 3: Cross multiply
    13,602.66x = 20,384.55 × 7,747.17
  4. Step 4: Simplify right side
    13,602.66x = 157,922,574.22
  5. Step 5: Solve for x
    x = 157,922,574.22/13,602.66
  6. Step 6: Final answer
    x = 11,609.68

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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.