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Finding the Fourth Proportional to 4,610.63, 6,915.95 and 1,689.17

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Solution

The fourth proportional to 4,610.63, 6,915.95 and 1,689.17 is: 2,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.63 : 6,915.95 = 1,689.17 : x
  2. Step 2: Convert to fraction form
    4,610.63/6,915.95 = 1,689.17/x
  3. Step 3: Cross multiply
    4,610.63x = 6,915.95 × 1,689.17
  4. Step 4: Simplify right side
    4,610.63x = 11,682,172.24
  5. Step 5: Solve for x
    x = 11,682,172.24/4,610.63
  6. Step 6: Final answer
    x = 2,533.75

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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.