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Finding the Fourth Proportional to 22,368.32, 30,869.04 and 12,297.20

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Solution

The fourth proportional to 22,368.32, 30,869.04 and 12,297.20 is: 16,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368.32 : 30,869.04 = 12,297.20 : x
  2. Step 2: Convert to fraction form
    22,368.32/30,869.04 = 12,297.20/x
  3. Step 3: Cross multiply
    22,368.32x = 30,869.04 × 12,297.20
  4. Step 4: Simplify right side
    22,368.32x = 379,602,758.69
  5. Step 5: Solve for x
    x = 379,602,758.69/22,368.32
  6. Step 6: Final answer
    x = 16,970.55

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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.