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Finding the Fourth Proportional to 10,506.78, 15,760.01 and 4,266.77

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Solution

The fourth proportional to 10,506.78, 15,760.01 and 4,266.77 is: 6,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.78 : 15,760.01 = 4,266.77 : x
  2. Step 2: Convert to fraction form
    10,506.78/15,760.01 = 4,266.77/x
  3. Step 3: Cross multiply
    10,506.78x = 15,760.01 × 4,266.77
  4. Step 4: Simplify right side
    10,506.78x = 67,244,269.73
  5. Step 5: Solve for x
    x = 67,244,269.73/10,506.78
  6. Step 6: Final answer
    x = 6,400.08

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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.