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Finding the Fourth Proportional to 12,977.68, 17,908.68 and 7,675.60

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Solution

The fourth proportional to 12,977.68, 17,908.68 and 7,675.60 is: 10,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.68 : 17,908.68 = 7,675.60 : x
  2. Step 2: Convert to fraction form
    12,977.68/17,908.68 = 7,675.60/x
  3. Step 3: Cross multiply
    12,977.68x = 17,908.68 × 7,675.60
  4. Step 4: Simplify right side
    12,977.68x = 137,459,864.21
  5. Step 5: Solve for x
    x = 137,459,864.21/12,977.68
  6. Step 6: Final answer
    x = 10,592.02

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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.