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Finding the Fourth Proportional to 11,679.40, 17,506.07 and 4,657.57

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Solution

The fourth proportional to 11,679.40, 17,506.07 and 4,657.57 is: 6,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.40 : 17,506.07 = 4,657.57 : x
  2. Step 2: Convert to fraction form
    11,679.40/17,506.07 = 4,657.57/x
  3. Step 3: Cross multiply
    11,679.40x = 17,506.07 × 4,657.57
  4. Step 4: Simplify right side
    11,679.40x = 81,535,746.45
  5. Step 5: Solve for x
    x = 81,535,746.45/11,679.40
  6. Step 6: Final answer
    x = 6,981.16

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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.