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Finding the Fourth Proportional to 21,899.16, 32,840.64 and 7,855.20

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Solution

The fourth proportional to 21,899.16, 32,840.64 and 7,855.20 is: 11,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.16 : 32,840.64 = 7,855.20 : x
  2. Step 2: Convert to fraction form
    21,899.16/32,840.64 = 7,855.20/x
  3. Step 3: Cross multiply
    21,899.16x = 32,840.64 × 7,855.20
  4. Step 4: Simplify right side
    21,899.16x = 257,969,795.33
  5. Step 5: Solve for x
    x = 257,969,795.33/21,899.16
  6. Step 6: Final answer
    x = 11,779.89

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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.