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Finding the Fourth Proportional to 21,866.56, 32,800.34 and 7,827.55

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Solution

The fourth proportional to 21,866.56, 32,800.34 and 7,827.55 is: 11,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.56 : 32,800.34 = 7,827.55 : x
  2. Step 2: Convert to fraction form
    21,866.56/32,800.34 = 7,827.55/x
  3. Step 3: Cross multiply
    21,866.56x = 32,800.34 × 7,827.55
  4. Step 4: Simplify right side
    21,866.56x = 256,746,285.06
  5. Step 5: Solve for x
    x = 256,746,285.06/21,866.56
  6. Step 6: Final answer
    x = 11,741.50

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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.