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Finding the Fourth Proportional to 13,154.49, 19,724.72 and 6,899.49

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Solution

The fourth proportional to 13,154.49, 19,724.72 and 6,899.49 is: 10,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.49 : 19,724.72 = 6,899.49 : x
  2. Step 2: Convert to fraction form
    13,154.49/19,724.72 = 6,899.49/x
  3. Step 3: Cross multiply
    13,154.49x = 19,724.72 × 6,899.49
  4. Step 4: Simplify right side
    13,154.49x = 136,090,473.90
  5. Step 5: Solve for x
    x = 136,090,473.90/13,154.49
  6. Step 6: Final answer
    x = 10,345.55

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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.