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Finding the Fourth Proportional to 4,784.64, 6,602.78 and 2,688.78

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Solution

The fourth proportional to 4,784.64, 6,602.78 and 2,688.78 is: 3,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.64 : 6,602.78 = 2,688.78 : x
  2. Step 2: Convert to fraction form
    4,784.64/6,602.78 = 2,688.78/x
  3. Step 3: Cross multiply
    4,784.64x = 6,602.78 × 2,688.78
  4. Step 4: Simplify right side
    4,784.64x = 17,753,422.81
  5. Step 5: Solve for x
    x = 17,753,422.81/4,784.64
  6. Step 6: Final answer
    x = 3,710.50

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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.