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Finding the Fourth Proportional to 5,164.40, 7,730.40 and 3,706.40

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Solution

The fourth proportional to 5,164.40, 7,730.40 and 3,706.40 is: 5,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.40 : 7,730.40 = 3,706.40 : x
  2. Step 2: Convert to fraction form
    5,164.40/7,730.40 = 3,706.40/x
  3. Step 3: Cross multiply
    5,164.40x = 7,730.40 × 3,706.40
  4. Step 4: Simplify right side
    5,164.40x = 28,651,954.56
  5. Step 5: Solve for x
    x = 28,651,954.56/5,164.40
  6. Step 6: Final answer
    x = 5,547.97

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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.