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Finding the Fourth Proportional to 6,978.74, 9,602.51 and 6,812.66

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Solution

The fourth proportional to 6,978.74, 9,602.51 and 6,812.66 is: 9,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.74 : 9,602.51 = 6,812.66 : x
  2. Step 2: Convert to fraction form
    6,978.74/9,602.51 = 6,812.66/x
  3. Step 3: Cross multiply
    6,978.74x = 9,602.51 × 6,812.66
  4. Step 4: Simplify right side
    6,978.74x = 65,418,676.81
  5. Step 5: Solve for x
    x = 65,418,676.81/6,978.74
  6. Step 6: Final answer
    x = 9,374.00

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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.