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Finding the Fourth Proportional to 5,301.16, 7,950.96 and 1,405.84

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Solution

The fourth proportional to 5,301.16, 7,950.96 and 1,405.84 is: 2,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.16 : 7,950.96 = 1,405.84 : x
  2. Step 2: Convert to fraction form
    5,301.16/7,950.96 = 1,405.84/x
  3. Step 3: Cross multiply
    5,301.16x = 7,950.96 × 1,405.84
  4. Step 4: Simplify right side
    5,301.16x = 11,177,777.61
  5. Step 5: Solve for x
    x = 11,177,777.61/5,301.16
  6. Step 6: Final answer
    x = 2,108.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.