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Finding the Fourth Proportional to 5,462.12, 7,534.68 and 3,784.51

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Solution

The fourth proportional to 5,462.12, 7,534.68 and 3,784.51 is: 5,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.12 : 7,534.68 = 3,784.51 : x
  2. Step 2: Convert to fraction form
    5,462.12/7,534.68 = 3,784.51/x
  3. Step 3: Cross multiply
    5,462.12x = 7,534.68 × 3,784.51
  4. Step 4: Simplify right side
    5,462.12x = 28,515,071.81
  5. Step 5: Solve for x
    x = 28,515,071.81/5,462.12
  6. Step 6: Final answer
    x = 5,220.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.