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Finding the Fourth Proportional to 8,143.68, 11,237.52 and 4,607.16

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Solution

The fourth proportional to 8,143.68, 11,237.52 and 4,607.16 is: 6,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.68 : 11,237.52 = 4,607.16 : x
  2. Step 2: Convert to fraction form
    8,143.68/11,237.52 = 4,607.16/x
  3. Step 3: Cross multiply
    8,143.68x = 11,237.52 × 4,607.16
  4. Step 4: Simplify right side
    8,143.68x = 51,773,052.64
  5. Step 5: Solve for x
    x = 51,773,052.64/8,143.68
  6. Step 6: Final answer
    x = 6,357.45

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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.