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Finding the Fourth Proportional to 12,659.70, 17,461.62 and 8,681.16

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Solution

The fourth proportional to 12,659.70, 17,461.62 and 8,681.16 is: 11,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.70 : 17,461.62 = 8,681.16 : x
  2. Step 2: Convert to fraction form
    12,659.70/17,461.62 = 8,681.16/x
  3. Step 3: Cross multiply
    12,659.70x = 17,461.62 × 8,681.16
  4. Step 4: Simplify right side
    12,659.70x = 151,587,117.08
  5. Step 5: Solve for x
    x = 151,587,117.08/12,659.70
  6. Step 6: Final answer
    x = 11,973.99

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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.