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Finding the Fourth Proportional to 5,076, 7,615.12 and 2,156.80

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Solution

The fourth proportional to 5,076, 7,615.12 and 2,156.80 is: 3,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076 : 7,615.12 = 2,156.80 : x
  2. Step 2: Convert to fraction form
    5,076/7,615.12 = 2,156.80/x
  3. Step 3: Cross multiply
    5,076x = 7,615.12 × 2,156.80
  4. Step 4: Simplify right side
    5,076x = 16,424,290.82
  5. Step 5: Solve for x
    x = 16,424,290.82/5,076
  6. Step 6: Final answer
    x = 3,235.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.