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Finding the Fourth Proportional to 12,977.80, 17,909.36 and 7,009.46

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Solution

The fourth proportional to 12,977.80, 17,909.36 and 7,009.46 is: 9,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.80 : 17,909.36 = 7,009.46 : x
  2. Step 2: Convert to fraction form
    12,977.80/17,909.36 = 7,009.46/x
  3. Step 3: Cross multiply
    12,977.80x = 17,909.36 × 7,009.46
  4. Step 4: Simplify right side
    12,977.80x = 125,535,051.57
  5. Step 5: Solve for x
    x = 125,535,051.57/12,977.80
  6. Step 6: Final answer
    x = 9,673.06

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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.