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Finding the Fourth Proportional to 12,987.14, 17,918.04 and 7,946.10

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Solution

The fourth proportional to 12,987.14, 17,918.04 and 7,946.10 is: 10,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.14 : 17,918.04 = 7,946.10 : x
  2. Step 2: Convert to fraction form
    12,987.14/17,918.04 = 7,946.10/x
  3. Step 3: Cross multiply
    12,987.14x = 17,918.04 × 7,946.10
  4. Step 4: Simplify right side
    12,987.14x = 142,378,537.64
  5. Step 5: Solve for x
    x = 142,378,537.64/12,987.14
  6. Step 6: Final answer
    x = 10,963.04

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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.