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Finding the Fourth Proportional to 9,714.48, 14,569.20 and 2,787.36

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Solution

The fourth proportional to 9,714.48, 14,569.20 and 2,787.36 is: 4,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.48 : 14,569.20 = 2,787.36 : x
  2. Step 2: Convert to fraction form
    9,714.48/14,569.20 = 2,787.36/x
  3. Step 3: Cross multiply
    9,714.48x = 14,569.20 × 2,787.36
  4. Step 4: Simplify right side
    9,714.48x = 40,609,605.31
  5. Step 5: Solve for x
    x = 40,609,605.31/9,714.48
  6. Step 6: Final answer
    x = 4,180.32

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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.