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Finding the Fourth Proportional to 5,071.70, 7,607.46 and 2,605.07

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Solution

The fourth proportional to 5,071.70, 7,607.46 and 2,605.07 is: 3,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.70 : 7,607.46 = 2,605.07 : x
  2. Step 2: Convert to fraction form
    5,071.70/7,607.46 = 2,605.07/x
  3. Step 3: Cross multiply
    5,071.70x = 7,607.46 × 2,605.07
  4. Step 4: Simplify right side
    5,071.70x = 19,817,965.82
  5. Step 5: Solve for x
    x = 19,817,965.82/5,071.70
  6. Step 6: Final answer
    x = 3,907.56

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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.