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Finding the Fourth Proportional to 13,347.78, 18,416.88 and 7,969.17

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Solution

The fourth proportional to 13,347.78, 18,416.88 and 7,969.17 is: 10,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.78 : 18,416.88 = 7,969.17 : x
  2. Step 2: Convert to fraction form
    13,347.78/18,416.88 = 7,969.17/x
  3. Step 3: Cross multiply
    13,347.78x = 18,416.88 × 7,969.17
  4. Step 4: Simplify right side
    13,347.78x = 146,767,217.71
  5. Step 5: Solve for x
    x = 146,767,217.71/13,347.78
  6. Step 6: Final answer
    x = 10,995.63

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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.