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Finding the Fourth Proportional to 15,420, 21,279.60 and 11,460

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Solution

The fourth proportional to 15,420, 21,279.60 and 11,460 is: 15,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420 : 21,279.60 = 11,460 : x
  2. Step 2: Convert to fraction form
    15,420/21,279.60 = 11,460/x
  3. Step 3: Cross multiply
    15,420x = 21,279.60 × 11,460
  4. Step 4: Simplify right side
    15,420x = 243,864,216.00
  5. Step 5: Solve for x
    x = 243,864,216.00/15,420
  6. Step 6: Final answer
    x = 15,814.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.