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Finding the Fourth Proportional to 7,580.76, 10,461.29 and 5,190.66

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Solution

The fourth proportional to 7,580.76, 10,461.29 and 5,190.66 is: 7,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.76 : 10,461.29 = 5,190.66 : x
  2. Step 2: Convert to fraction form
    7,580.76/10,461.29 = 5,190.66/x
  3. Step 3: Cross multiply
    7,580.76x = 10,461.29 × 5,190.66
  4. Step 4: Simplify right side
    7,580.76x = 54,300,973.60
  5. Step 5: Solve for x
    x = 54,300,973.60/7,580.76
  6. Step 6: Final answer
    x = 7,163.00

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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.