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Finding the Fourth Proportional to 11,815.16, 17,630.18 and 10,574.04

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Solution

The fourth proportional to 11,815.16, 17,630.18 and 10,574.04 is: 15,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.16 : 17,630.18 = 10,574.04 : x
  2. Step 2: Convert to fraction form
    11,815.16/17,630.18 = 10,574.04/x
  3. Step 3: Cross multiply
    11,815.16x = 17,630.18 × 10,574.04
  4. Step 4: Simplify right side
    11,815.16x = 186,422,228.53
  5. Step 5: Solve for x
    x = 186,422,228.53/11,815.16
  6. Step 6: Final answer
    x = 15,778.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.