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Finding the Fourth Proportional to 12,977.40, 17,908.80 and 7,009.06

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Solution

The fourth proportional to 12,977.40, 17,908.80 and 7,009.06 is: 9,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.40 : 17,908.80 = 7,009.06 : x
  2. Step 2: Convert to fraction form
    12,977.40/17,908.80 = 7,009.06/x
  3. Step 3: Cross multiply
    12,977.40x = 17,908.80 × 7,009.06
  4. Step 4: Simplify right side
    12,977.40x = 125,523,853.73
  5. Step 5: Solve for x
    x = 125,523,853.73/12,977.40
  6. Step 6: Final answer
    x = 9,672.50

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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.