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Finding the Fourth Proportional to 12,653, 17,461.32 and 7,064

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Solution

The fourth proportional to 12,653, 17,461.32 and 7,064 is: 9,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653 : 17,461.32 = 7,064 : x
  2. Step 2: Convert to fraction form
    12,653/17,461.32 = 7,064/x
  3. Step 3: Cross multiply
    12,653x = 17,461.32 × 7,064
  4. Step 4: Simplify right side
    12,653x = 123,346,764.48
  5. Step 5: Solve for x
    x = 123,346,764.48/12,653
  6. Step 6: Final answer
    x = 9,748.42

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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.