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Finding the Fourth Proportional to 13,930.88, 19,224.32 and 7,962.88

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Solution

The fourth proportional to 13,930.88, 19,224.32 and 7,962.88 is: 10,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.88 : 19,224.32 = 7,962.88 : x
  2. Step 2: Convert to fraction form
    13,930.88/19,224.32 = 7,962.88/x
  3. Step 3: Cross multiply
    13,930.88x = 19,224.32 × 7,962.88
  4. Step 4: Simplify right side
    13,930.88x = 153,080,953.24
  5. Step 5: Solve for x
    x = 153,080,953.24/13,930.88
  6. Step 6: Final answer
    x = 10,988.61

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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.