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Finding the Fourth Proportional to 5,253.42, 7,880.10 and 1,556.58

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Solution

The fourth proportional to 5,253.42, 7,880.10 and 1,556.58 is: 2,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.42 : 7,880.10 = 1,556.58 : x
  2. Step 2: Convert to fraction form
    5,253.42/7,880.10 = 1,556.58/x
  3. Step 3: Cross multiply
    5,253.42x = 7,880.10 × 1,556.58
  4. Step 4: Simplify right side
    5,253.42x = 12,266,006.06
  5. Step 5: Solve for x
    x = 12,266,006.06/5,253.42
  6. Step 6: Final answer
    x = 2,334.86

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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.