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Finding the Fourth Proportional to 21,866.14, 32,803.46 and 7,827.22

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Solution

The fourth proportional to 21,866.14, 32,803.46 and 7,827.22 is: 11,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.14 : 32,803.46 = 7,827.22 : x
  2. Step 2: Convert to fraction form
    21,866.14/32,803.46 = 7,827.22/x
  3. Step 3: Cross multiply
    21,866.14x = 32,803.46 × 7,827.22
  4. Step 4: Simplify right side
    21,866.14x = 256,759,898.18
  5. Step 5: Solve for x
    x = 256,759,898.18/21,866.14
  6. Step 6: Final answer
    x = 11,742.35

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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.