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Finding the Fourth Proportional to 4,913.24, 7,358.16 and 2,688.76

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Solution

The fourth proportional to 4,913.24, 7,358.16 and 2,688.76 is: 4,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.24 : 7,358.16 = 2,688.76 : x
  2. Step 2: Convert to fraction form
    4,913.24/7,358.16 = 2,688.76/x
  3. Step 3: Cross multiply
    4,913.24x = 7,358.16 × 2,688.76
  4. Step 4: Simplify right side
    4,913.24x = 19,784,326.28
  5. Step 5: Solve for x
    x = 19,784,326.28/4,913.24
  6. Step 6: Final answer
    x = 4,026.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.