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Finding the Fourth Proportional to 21,655.46, 32,477.45 and 8,507.94

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Solution

The fourth proportional to 21,655.46, 32,477.45 and 8,507.94 is: 12,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.46 : 32,477.45 = 8,507.94 : x
  2. Step 2: Convert to fraction form
    21,655.46/32,477.45 = 8,507.94/x
  3. Step 3: Cross multiply
    21,655.46x = 32,477.45 × 8,507.94
  4. Step 4: Simplify right side
    21,655.46x = 276,316,153.41
  5. Step 5: Solve for x
    x = 276,316,153.41/21,655.46
  6. Step 6: Final answer
    x = 12,759.66

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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.