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Finding the Fourth Proportional to 4,293.76, 6,441.76 and 1,215.76

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Solution

The fourth proportional to 4,293.76, 6,441.76 and 1,215.76 is: 1,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.76 : 6,441.76 = 1,215.76 : x
  2. Step 2: Convert to fraction form
    4,293.76/6,441.76 = 1,215.76/x
  3. Step 3: Cross multiply
    4,293.76x = 6,441.76 × 1,215.76
  4. Step 4: Simplify right side
    4,293.76x = 7,831,634.14
  5. Step 5: Solve for x
    x = 7,831,634.14/4,293.76
  6. Step 6: Final answer
    x = 1,823.96

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1.5x scale

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.