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Finding the Fourth Proportional to 12,904.83, 17,810.02 and 7,241.11

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Solution

The fourth proportional to 12,904.83, 17,810.02 and 7,241.11 is: 9,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.83 : 17,810.02 = 7,241.11 : x
  2. Step 2: Convert to fraction form
    12,904.83/17,810.02 = 7,241.11/x
  3. Step 3: Cross multiply
    12,904.83x = 17,810.02 × 7,241.11
  4. Step 4: Simplify right side
    12,904.83x = 128,964,295.82
  5. Step 5: Solve for x
    x = 128,964,295.82/12,904.83
  6. Step 6: Final answer
    x = 9,993.49

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1.5x scale

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.