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Finding the Fourth Proportional to 13,189.84, 19,787.04 and 6,616.24

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Solution

The fourth proportional to 13,189.84, 19,787.04 and 6,616.24 is: 9,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.84 : 19,787.04 = 6,616.24 : x
  2. Step 2: Convert to fraction form
    13,189.84/19,787.04 = 6,616.24/x
  3. Step 3: Cross multiply
    13,189.84x = 19,787.04 × 6,616.24
  4. Step 4: Simplify right side
    13,189.84x = 130,915,805.53
  5. Step 5: Solve for x
    x = 130,915,805.53/13,189.84
  6. Step 6: Final answer
    x = 9,925.50

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1.5x scale

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.