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Finding the Fourth Proportional to 20,342.58, 28,071.15 and 11,388

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Solution

The fourth proportional to 20,342.58, 28,071.15 and 11,388 is: 15,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.58 : 28,071.15 = 11,388 : x
  2. Step 2: Convert to fraction form
    20,342.58/28,071.15 = 11,388/x
  3. Step 3: Cross multiply
    20,342.58x = 28,071.15 × 11,388
  4. Step 4: Simplify right side
    20,342.58x = 319,674,256.20
  5. Step 5: Solve for x
    x = 319,674,256.20/20,342.58
  6. Step 6: Final answer
    x = 15,714.54

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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.