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Finding the Fourth Proportional to 12,655.53, 17,465.63 and 6,990.80

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Solution

The fourth proportional to 12,655.53, 17,465.63 and 6,990.80 is: 9,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.53 : 17,465.63 = 6,990.80 : x
  2. Step 2: Convert to fraction form
    12,655.53/17,465.63 = 6,990.80/x
  3. Step 3: Cross multiply
    12,655.53x = 17,465.63 × 6,990.80
  4. Step 4: Simplify right side
    12,655.53x = 122,098,603.92
  5. Step 5: Solve for x
    x = 122,098,603.92/12,655.53
  6. Step 6: Final answer
    x = 9,647.85

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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.