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Finding the Fourth Proportional to 7,970, 10,998.60 and 4,658

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Solution

The fourth proportional to 7,970, 10,998.60 and 4,658 is: 6,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970 : 10,998.60 = 4,658 : x
  2. Step 2: Convert to fraction form
    7,970/10,998.60 = 4,658/x
  3. Step 3: Cross multiply
    7,970x = 10,998.60 × 4,658
  4. Step 4: Simplify right side
    7,970x = 51,231,478.80
  5. Step 5: Solve for x
    x = 51,231,478.80/7,970
  6. Step 6: Final answer
    x = 6,428.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.