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Finding the Fourth Proportional to 10,706, 14,758.08 and 9,205.88

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Solution

The fourth proportional to 10,706, 14,758.08 and 9,205.88 is: 12,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706 : 14,758.08 = 9,205.88 : x
  2. Step 2: Convert to fraction form
    10,706/14,758.08 = 9,205.88/x
  3. Step 3: Cross multiply
    10,706x = 14,758.08 × 9,205.88
  4. Step 4: Simplify right side
    10,706x = 135,861,113.51
  5. Step 5: Solve for x
    x = 135,861,113.51/10,706
  6. Step 6: Final answer
    x = 12,690.18

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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.