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Finding the Fourth Proportional to 15,600, 23,402.56 and 5,214.24

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Solution

The fourth proportional to 15,600, 23,402.56 and 5,214.24 is: 7,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,600 : 23,402.56 = 5,214.24 : x
  2. Step 2: Convert to fraction form
    15,600/23,402.56 = 5,214.24/x
  3. Step 3: Cross multiply
    15,600x = 23,402.56 × 5,214.24
  4. Step 4: Simplify right side
    15,600x = 122,026,564.45
  5. Step 5: Solve for x
    x = 122,026,564.45/15,600
  6. Step 6: Final answer
    x = 7,822.22

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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.