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Finding the Fourth Proportional to 13,706.42, 20,543.08 and 6,675.90

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Solution

The fourth proportional to 13,706.42, 20,543.08 and 6,675.90 is: 10,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.42 : 20,543.08 = 6,675.90 : x
  2. Step 2: Convert to fraction form
    13,706.42/20,543.08 = 6,675.90/x
  3. Step 3: Cross multiply
    13,706.42x = 20,543.08 × 6,675.90
  4. Step 4: Simplify right side
    13,706.42x = 137,143,547.77
  5. Step 5: Solve for x
    x = 137,143,547.77/13,706.42
  6. Step 6: Final answer
    x = 10,005.79

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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.