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Finding the Fourth Proportional to 12,653.22, 17,461.62 and 6,988

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Solution

The fourth proportional to 12,653.22, 17,461.62 and 6,988 is: 9,643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.22 : 17,461.62 = 6,988 : x
  2. Step 2: Convert to fraction form
    12,653.22/17,461.62 = 6,988/x
  3. Step 3: Cross multiply
    12,653.22x = 17,461.62 × 6,988
  4. Step 4: Simplify right side
    12,653.22x = 122,021,800.56
  5. Step 5: Solve for x
    x = 122,021,800.56/12,653.22
  6. Step 6: Final answer
    x = 9,643.54

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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.