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Finding the Fourth Proportional to 9,136.71, 13,705.07 and 3,290.13

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Solution

The fourth proportional to 9,136.71, 13,705.07 and 3,290.13 is: 4,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.71 : 13,705.07 = 3,290.13 : x
  2. Step 2: Convert to fraction form
    9,136.71/13,705.07 = 3,290.13/x
  3. Step 3: Cross multiply
    9,136.71x = 13,705.07 × 3,290.13
  4. Step 4: Simplify right side
    9,136.71x = 45,091,445.51
  5. Step 5: Solve for x
    x = 45,091,445.51/9,136.71
  6. Step 6: Final answer
    x = 4,935.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.