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Finding the Fourth Proportional to 5,253.46, 7,880.16 and 1,555.71

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Solution

The fourth proportional to 5,253.46, 7,880.16 and 1,555.71 is: 2,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.46 : 7,880.16 = 1,555.71 : x
  2. Step 2: Convert to fraction form
    5,253.46/7,880.16 = 1,555.71/x
  3. Step 3: Cross multiply
    5,253.46x = 7,880.16 × 1,555.71
  4. Step 4: Simplify right side
    5,253.46x = 12,259,243.71
  5. Step 5: Solve for x
    x = 12,259,243.71/5,253.46
  6. Step 6: Final answer
    x = 2,333.56

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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.