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Finding the Fourth Proportional to 5,307.20, 7,961.16 and 1,411.52

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Solution

The fourth proportional to 5,307.20, 7,961.16 and 1,411.52 is: 2,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.20 : 7,961.16 = 1,411.52 : x
  2. Step 2: Convert to fraction form
    5,307.20/7,961.16 = 1,411.52/x
  3. Step 3: Cross multiply
    5,307.20x = 7,961.16 × 1,411.52
  4. Step 4: Simplify right side
    5,307.20x = 11,237,336.56
  5. Step 5: Solve for x
    x = 11,237,336.56/5,307.20
  6. Step 6: Final answer
    x = 2,117.38

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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.