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Finding the Fourth Proportional to 10,185.71, 14,059.71 and 6,415.18

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Solution

The fourth proportional to 10,185.71, 14,059.71 and 6,415.18 is: 8,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.71 : 14,059.71 = 6,415.18 : x
  2. Step 2: Convert to fraction form
    10,185.71/14,059.71 = 6,415.18/x
  3. Step 3: Cross multiply
    10,185.71x = 14,059.71 × 6,415.18
  4. Step 4: Simplify right side
    10,185.71x = 90,195,535.25
  5. Step 5: Solve for x
    x = 90,195,535.25/10,185.71
  6. Step 6: Final answer
    x = 8,855.11

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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.