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Finding the Fourth Proportional to 7,353, 11,026.78 and 2,421.20

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Solution

The fourth proportional to 7,353, 11,026.78 and 2,421.20 is: 3,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353 : 11,026.78 = 2,421.20 : x
  2. Step 2: Convert to fraction form
    7,353/11,026.78 = 2,421.20/x
  3. Step 3: Cross multiply
    7,353x = 11,026.78 × 2,421.20
  4. Step 4: Simplify right side
    7,353x = 26,698,039.74
  5. Step 5: Solve for x
    x = 26,698,039.74/7,353
  6. Step 6: Final answer
    x = 3,630.90

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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.