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Finding the Fourth Proportional to 7,649, 10,555.78 and 4,337

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Solution

The fourth proportional to 7,649, 10,555.78 and 4,337 is: 5,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649 : 10,555.78 = 4,337 : x
  2. Step 2: Convert to fraction form
    7,649/10,555.78 = 4,337/x
  3. Step 3: Cross multiply
    7,649x = 10,555.78 × 4,337
  4. Step 4: Simplify right side
    7,649x = 45,780,417.86
  5. Step 5: Solve for x
    x = 45,780,417.86/7,649
  6. Step 6: Final answer
    x = 5,985.15

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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.