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Finding the Fourth Proportional to 7,297, 10,069.86 and 3,985

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Solution

The fourth proportional to 7,297, 10,069.86 and 3,985 is: 5,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297 : 10,069.86 = 3,985 : x
  2. Step 2: Convert to fraction form
    7,297/10,069.86 = 3,985/x
  3. Step 3: Cross multiply
    7,297x = 10,069.86 × 3,985
  4. Step 4: Simplify right side
    7,297x = 40,128,392.10
  5. Step 5: Solve for x
    x = 40,128,392.10/7,297
  6. Step 6: Final answer
    x = 5,499.30

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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.