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Finding the Fourth Proportional to 12,998.80, 17,927.40 and 10,011.28

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Solution

The fourth proportional to 12,998.80, 17,927.40 and 10,011.28 is: 13,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.80 : 17,927.40 = 10,011.28 : x
  2. Step 2: Convert to fraction form
    12,998.80/17,927.40 = 10,011.28/x
  3. Step 3: Cross multiply
    12,998.80x = 17,927.40 × 10,011.28
  4. Step 4: Simplify right side
    12,998.80x = 179,476,221.07
  5. Step 5: Solve for x
    x = 179,476,221.07/12,998.80
  6. Step 6: Final answer
    x = 13,807.14

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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.