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Finding the Fourth Proportional to 2,346.84, 3,521.54 and 787.32

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Solution

The fourth proportional to 2,346.84, 3,521.54 and 787.32 is: 1,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.84 : 3,521.54 = 787.32 : x
  2. Step 2: Convert to fraction form
    2,346.84/3,521.54 = 787.32/x
  3. Step 3: Cross multiply
    2,346.84x = 3,521.54 × 787.32
  4. Step 4: Simplify right side
    2,346.84x = 2,772,580.84
  5. Step 5: Solve for x
    x = 2,772,580.84/2,346.84
  6. Step 6: Final answer
    x = 1,181.41

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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.