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Finding the Fourth Proportional to 12,386.78, 17,094 and 7,010.40

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Solution

The fourth proportional to 12,386.78, 17,094 and 7,010.40 is: 9,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.78 : 17,094 = 7,010.40 : x
  2. Step 2: Convert to fraction form
    12,386.78/17,094 = 7,010.40/x
  3. Step 3: Cross multiply
    12,386.78x = 17,094 × 7,010.40
  4. Step 4: Simplify right side
    12,386.78x = 119,835,777.60
  5. Step 5: Solve for x
    x = 119,835,777.60/12,386.78
  6. Step 6: Final answer
    x = 9,674.49

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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.