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Finding the Fourth Proportional to 47,019.68, 70,540.08 and 15,854

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Solution

The fourth proportional to 47,019.68, 70,540.08 and 15,854 is: 23,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,019.68 : 70,540.08 = 15,854 : x
  2. Step 2: Convert to fraction form
    47,019.68/70,540.08 = 15,854/x
  3. Step 3: Cross multiply
    47,019.68x = 70,540.08 × 15,854
  4. Step 4: Simplify right side
    47,019.68x = 1,118,342,428.32
  5. Step 5: Solve for x
    x = 1,118,342,428.32/47,019.68
  6. Step 6: Final answer
    x = 23,784.56

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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.