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Finding the Fourth Proportional to 5,303.25, 7,955.07 and 1,605.78

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Solution

The fourth proportional to 5,303.25, 7,955.07 and 1,605.78 is: 2,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.25 : 7,955.07 = 1,605.78 : x
  2. Step 2: Convert to fraction form
    5,303.25/7,955.07 = 1,605.78/x
  3. Step 3: Cross multiply
    5,303.25x = 7,955.07 × 1,605.78
  4. Step 4: Simplify right side
    5,303.25x = 12,774,092.30
  5. Step 5: Solve for x
    x = 12,774,092.30/5,303.25
  6. Step 6: Final answer
    x = 2,408.73

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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.