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Finding the Fourth Proportional to 4,672.76, 6,440.28 and 3,411.74

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Solution

The fourth proportional to 4,672.76, 6,440.28 and 3,411.74 is: 4,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.76 : 6,440.28 = 3,411.74 : x
  2. Step 2: Convert to fraction form
    4,672.76/6,440.28 = 3,411.74/x
  3. Step 3: Cross multiply
    4,672.76x = 6,440.28 × 3,411.74
  4. Step 4: Simplify right side
    4,672.76x = 21,972,560.89
  5. Step 5: Solve for x
    x = 21,972,560.89/4,672.76
  6. Step 6: Final answer
    x = 4,702.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.