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Finding the Fourth Proportional to 5,266.89, 7,894.53 and 3,812.40

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Solution

The fourth proportional to 5,266.89, 7,894.53 and 3,812.40 is: 5,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.89 : 7,894.53 = 3,812.40 : x
  2. Step 2: Convert to fraction form
    5,266.89/7,894.53 = 3,812.40/x
  3. Step 3: Cross multiply
    5,266.89x = 7,894.53 × 3,812.40
  4. Step 4: Simplify right side
    5,266.89x = 30,097,106.17
  5. Step 5: Solve for x
    x = 30,097,106.17/5,266.89
  6. Step 6: Final answer
    x = 5,714.40

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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.