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Finding the Fourth Proportional to 47,628, 71,436.51 and 12,570.39

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Solution

The fourth proportional to 47,628, 71,436.51 and 12,570.39 is: 18,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,628 : 71,436.51 = 12,570.39 : x
  2. Step 2: Convert to fraction form
    47,628/71,436.51 = 12,570.39/x
  3. Step 3: Cross multiply
    47,628x = 71,436.51 × 12,570.39
  4. Step 4: Simplify right side
    47,628x = 897,984,790.94
  5. Step 5: Solve for x
    x = 897,984,790.94/47,628
  6. Step 6: Final answer
    x = 18,854.14

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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.