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Finding the Fourth Proportional to 9,787.84, 13,494 and 6,638.56

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Solution

The fourth proportional to 9,787.84, 13,494 and 6,638.56 is: 9,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.84 : 13,494 = 6,638.56 : x
  2. Step 2: Convert to fraction form
    9,787.84/13,494 = 6,638.56/x
  3. Step 3: Cross multiply
    9,787.84x = 13,494 × 6,638.56
  4. Step 4: Simplify right side
    9,787.84x = 89,580,728.64
  5. Step 5: Solve for x
    x = 89,580,728.64/9,787.84
  6. Step 6: Final answer
    x = 9,152.25

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1.5x scale

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.