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Finding the Fourth Proportional to 12,653.58, 17,461.79 and 6,988.56

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Solution

The fourth proportional to 12,653.58, 17,461.79 and 6,988.56 is: 9,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.58 : 17,461.79 = 6,988.56 : x
  2. Step 2: Convert to fraction form
    12,653.58/17,461.79 = 6,988.56/x
  3. Step 3: Cross multiply
    12,653.58x = 17,461.79 × 6,988.56
  4. Step 4: Simplify right side
    12,653.58x = 122,032,830.44
  5. Step 5: Solve for x
    x = 122,032,830.44/12,653.58
  6. Step 6: Final answer
    x = 9,644.13

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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.