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Finding the Fourth Proportional to 12,988.26, 17,922.53 and 7,611.28

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Solution

The fourth proportional to 12,988.26, 17,922.53 and 7,611.28 is: 10,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.26 : 17,922.53 = 7,611.28 : x
  2. Step 2: Convert to fraction form
    12,988.26/17,922.53 = 7,611.28/x
  3. Step 3: Cross multiply
    12,988.26x = 17,922.53 × 7,611.28
  4. Step 4: Simplify right side
    12,988.26x = 136,413,368.36
  5. Step 5: Solve for x
    x = 136,413,368.36/12,988.26
  6. Step 6: Final answer
    x = 10,502.82

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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.