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Finding the Fourth Proportional to 5,253.53, 7,880.25 and 1,555.77

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Solution

The fourth proportional to 5,253.53, 7,880.25 and 1,555.77 is: 2,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.53 : 7,880.25 = 1,555.77 : x
  2. Step 2: Convert to fraction form
    5,253.53/7,880.25 = 1,555.77/x
  3. Step 3: Cross multiply
    5,253.53x = 7,880.25 × 1,555.77
  4. Step 4: Simplify right side
    5,253.53x = 12,259,891.93
  5. Step 5: Solve for x
    x = 12,259,891.93/5,253.53
  6. Step 6: Final answer
    x = 2,333.65

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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.