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Finding the Fourth Proportional to 7,352.78, 11,026.80 and 2,421.28

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Solution

The fourth proportional to 7,352.78, 11,026.80 and 2,421.28 is: 3,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.78 : 11,026.80 = 2,421.28 : x
  2. Step 2: Convert to fraction form
    7,352.78/11,026.80 = 2,421.28/x
  3. Step 3: Cross multiply
    7,352.78x = 11,026.80 × 2,421.28
  4. Step 4: Simplify right side
    7,352.78x = 26,698,970.30
  5. Step 5: Solve for x
    x = 26,698,970.30/7,352.78
  6. Step 6: Final answer
    x = 3,631.14

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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.