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Finding the Fourth Proportional to 5,177.98, 7,765.06 and 1,890.10

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Solution

The fourth proportional to 5,177.98, 7,765.06 and 1,890.10 is: 2,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.98 : 7,765.06 = 1,890.10 : x
  2. Step 2: Convert to fraction form
    5,177.98/7,765.06 = 1,890.10/x
  3. Step 3: Cross multiply
    5,177.98x = 7,765.06 × 1,890.10
  4. Step 4: Simplify right side
    5,177.98x = 14,676,739.91
  5. Step 5: Solve for x
    x = 14,676,739.91/5,177.98
  6. Step 6: Final answer
    x = 2,834.45

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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.