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Finding the Fourth Proportional to 18,553.50, 27,831.87 and 4,702.50

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Solution

The fourth proportional to 18,553.50, 27,831.87 and 4,702.50 is: 7,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.50 : 27,831.87 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    18,553.50/27,831.87 = 4,702.50/x
  3. Step 3: Cross multiply
    18,553.50x = 27,831.87 × 4,702.50
  4. Step 4: Simplify right side
    18,553.50x = 130,879,368.68
  5. Step 5: Solve for x
    x = 130,879,368.68/18,553.50
  6. Step 6: Final answer
    x = 7,054.16

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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.