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Finding the Fourth Proportional to 4,526.76, 6,788.16 and 2,678.40

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Solution

The fourth proportional to 4,526.76, 6,788.16 and 2,678.40 is: 4,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.76 : 6,788.16 = 2,678.40 : x
  2. Step 2: Convert to fraction form
    4,526.76/6,788.16 = 2,678.40/x
  3. Step 3: Cross multiply
    4,526.76x = 6,788.16 × 2,678.40
  4. Step 4: Simplify right side
    4,526.76x = 18,181,407.74
  5. Step 5: Solve for x
    x = 18,181,407.74/4,526.76
  6. Step 6: Final answer
    x = 4,016.43

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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.