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Finding the Fourth Proportional to 28,188, 42,288.48 and 9,720

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Solution

The fourth proportional to 28,188, 42,288.48 and 9,720 is: 14,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,188 : 42,288.48 = 9,720 : x
  2. Step 2: Convert to fraction form
    28,188/42,288.48 = 9,720/x
  3. Step 3: Cross multiply
    28,188x = 42,288.48 × 9,720
  4. Step 4: Simplify right side
    28,188x = 411,044,025.60
  5. Step 5: Solve for x
    x = 411,044,025.60/28,188
  6. Step 6: Final answer
    x = 14,582.23

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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.