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Finding the Fourth Proportional to 12,810.30, 17,677.98 and 7,221.30

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Solution

The fourth proportional to 12,810.30, 17,677.98 and 7,221.30 is: 9,965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.30 : 17,677.98 = 7,221.30 : x
  2. Step 2: Convert to fraction form
    12,810.30/17,677.98 = 7,221.30/x
  3. Step 3: Cross multiply
    12,810.30x = 17,677.98 × 7,221.30
  4. Step 4: Simplify right side
    12,810.30x = 127,657,996.97
  5. Step 5: Solve for x
    x = 127,657,996.97/12,810.30
  6. Step 6: Final answer
    x = 9,965.26

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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.