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Finding the Fourth Proportional to 21,858.76, 32,820.86 and 12,509.32

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Solution

The fourth proportional to 21,858.76, 32,820.86 and 12,509.32 is: 18,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.76 : 32,820.86 = 12,509.32 : x
  2. Step 2: Convert to fraction form
    21,858.76/32,820.86 = 12,509.32/x
  3. Step 3: Cross multiply
    21,858.76x = 32,820.86 × 12,509.32
  4. Step 4: Simplify right side
    21,858.76x = 410,566,640.42
  5. Step 5: Solve for x
    x = 410,566,640.42/21,858.76
  6. Step 6: Final answer
    x = 18,782.70

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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.