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Finding the Fourth Proportional to 28,606.56, 42,875.28 and 12,156

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Solution

The fourth proportional to 28,606.56, 42,875.28 and 12,156 is: 18,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,606.56 : 42,875.28 = 12,156 : x
  2. Step 2: Convert to fraction form
    28,606.56/42,875.28 = 12,156/x
  3. Step 3: Cross multiply
    28,606.56x = 42,875.28 × 12,156
  4. Step 4: Simplify right side
    28,606.56x = 521,191,903.68
  5. Step 5: Solve for x
    x = 521,191,903.68/28,606.56
  6. Step 6: Final answer
    x = 18,219.31

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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.