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Finding the Fourth Proportional to 18,242.77, 27,376.44 and 7,148.08

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Solution

The fourth proportional to 18,242.77, 27,376.44 and 7,148.08 is: 10,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.77 : 27,376.44 = 7,148.08 : x
  2. Step 2: Convert to fraction form
    18,242.77/27,376.44 = 7,148.08/x
  3. Step 3: Cross multiply
    18,242.77x = 27,376.44 × 7,148.08
  4. Step 4: Simplify right side
    18,242.77x = 195,688,983.24
  5. Step 5: Solve for x
    x = 195,688,983.24/18,242.77
  6. Step 6: Final answer
    x = 10,726.93

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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.