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Finding the Fourth Proportional to 5,710.80, 7,881.30 and 4,116.84

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Solution

The fourth proportional to 5,710.80, 7,881.30 and 4,116.84 is: 5,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.80 : 7,881.30 = 4,116.84 : x
  2. Step 2: Convert to fraction form
    5,710.80/7,881.30 = 4,116.84/x
  3. Step 3: Cross multiply
    5,710.80x = 7,881.30 × 4,116.84
  4. Step 4: Simplify right side
    5,710.80x = 32,446,051.09
  5. Step 5: Solve for x
    x = 32,446,051.09/5,710.80
  6. Step 6: Final answer
    x = 5,681.52

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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.