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Finding the Fourth Proportional to 7,580.77, 10,449.35 and 5,057.89

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Solution

The fourth proportional to 7,580.77, 10,449.35 and 5,057.89 is: 6,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.77 : 10,449.35 = 5,057.89 : x
  2. Step 2: Convert to fraction form
    7,580.77/10,449.35 = 5,057.89/x
  3. Step 3: Cross multiply
    7,580.77x = 10,449.35 × 5,057.89
  4. Step 4: Simplify right side
    7,580.77x = 52,851,637.58
  5. Step 5: Solve for x
    x = 52,851,637.58/7,580.77
  6. Step 6: Final answer
    x = 6,971.80

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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.