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Finding the Fourth Proportional to 7,116.93, 9,821.33 and 4,134.51

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Solution

The fourth proportional to 7,116.93, 9,821.33 and 4,134.51 is: 5,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.93 : 9,821.33 = 4,134.51 : x
  2. Step 2: Convert to fraction form
    7,116.93/9,821.33 = 4,134.51/x
  3. Step 3: Cross multiply
    7,116.93x = 9,821.33 × 4,134.51
  4. Step 4: Simplify right side
    7,116.93x = 40,606,387.10
  5. Step 5: Solve for x
    x = 40,606,387.10/7,116.93
  6. Step 6: Final answer
    x = 5,705.60

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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.