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Finding the Fourth Proportional to 4,610.70, 6,916.44 and 1,978.32

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Solution

The fourth proportional to 4,610.70, 6,916.44 and 1,978.32 is: 2,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.70 : 6,916.44 = 1,978.32 : x
  2. Step 2: Convert to fraction form
    4,610.70/6,916.44 = 1,978.32/x
  3. Step 3: Cross multiply
    4,610.70x = 6,916.44 × 1,978.32
  4. Step 4: Simplify right side
    4,610.70x = 13,682,931.58
  5. Step 5: Solve for x
    x = 13,682,931.58/4,610.70
  6. Step 6: Final answer
    x = 2,967.65

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Why These Related Problems?

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