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Finding the Fourth Proportional to 13,706.16, 20,555.16 and 7,128.76

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Solution

The fourth proportional to 13,706.16, 20,555.16 and 7,128.76 is: 10,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.16 : 20,555.16 = 7,128.76 : x
  2. Step 2: Convert to fraction form
    13,706.16/20,555.16 = 7,128.76/x
  3. Step 3: Cross multiply
    13,706.16x = 20,555.16 × 7,128.76
  4. Step 4: Simplify right side
    13,706.16x = 146,532,802.40
  5. Step 5: Solve for x
    x = 146,532,802.40/13,706.16
  6. Step 6: Final answer
    x = 10,691.02

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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.