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Finding the Fourth Proportional to 28,428.96, 42,643.62 and 8,706

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Solution

The fourth proportional to 28,428.96, 42,643.62 and 8,706 is: 13,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,428.96 : 42,643.62 = 8,706 : x
  2. Step 2: Convert to fraction form
    28,428.96/42,643.62 = 8,706/x
  3. Step 3: Cross multiply
    28,428.96x = 42,643.62 × 8,706
  4. Step 4: Simplify right side
    28,428.96x = 371,255,355.72
  5. Step 5: Solve for x
    x = 371,255,355.72/28,428.96
  6. Step 6: Final answer
    x = 13,059.06

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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.