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Finding the Fourth Proportional to 12,359, 17,055.42 and 6,770

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Solution

The fourth proportional to 12,359, 17,055.42 and 6,770 is: 9,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359 : 17,055.42 = 6,770 : x
  2. Step 2: Convert to fraction form
    12,359/17,055.42 = 6,770/x
  3. Step 3: Cross multiply
    12,359x = 17,055.42 × 6,770
  4. Step 4: Simplify right side
    12,359x = 115,465,193.40
  5. Step 5: Solve for x
    x = 115,465,193.40/12,359
  6. Step 6: Final answer
    x = 9,342.60

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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.