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Finding the Fourth Proportional to 7,038.76, 9,712.98 and 3,895

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Solution

The fourth proportional to 7,038.76, 9,712.98 and 3,895 is: 5,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.76 : 9,712.98 = 3,895 : x
  2. Step 2: Convert to fraction form
    7,038.76/9,712.98 = 3,895/x
  3. Step 3: Cross multiply
    7,038.76x = 9,712.98 × 3,895
  4. Step 4: Simplify right side
    7,038.76x = 37,832,057.10
  5. Step 5: Solve for x
    x = 37,832,057.10/7,038.76
  6. Step 6: Final answer
    x = 5,374.82

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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.