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Finding the Fourth Proportional to 5,071.76, 7,607.68 and 1,993.76

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Solution

The fourth proportional to 5,071.76, 7,607.68 and 1,993.76 is: 2,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.76 : 7,607.68 = 1,993.76 : x
  2. Step 2: Convert to fraction form
    5,071.76/7,607.68 = 1,993.76/x
  3. Step 3: Cross multiply
    5,071.76x = 7,607.68 × 1,993.76
  4. Step 4: Simplify right side
    5,071.76x = 15,167,888.08
  5. Step 5: Solve for x
    x = 15,167,888.08/5,071.76
  6. Step 6: Final answer
    x = 2,990.66

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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.