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Finding the Fourth Proportional to 15,790.38, 23,676.86 and 6,428

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Solution

The fourth proportional to 15,790.38, 23,676.86 and 6,428 is: 9,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.38 : 23,676.86 = 6,428 : x
  2. Step 2: Convert to fraction form
    15,790.38/23,676.86 = 6,428/x
  3. Step 3: Cross multiply
    15,790.38x = 23,676.86 × 6,428
  4. Step 4: Simplify right side
    15,790.38x = 152,194,856.08
  5. Step 5: Solve for x
    x = 152,194,856.08/15,790.38
  6. Step 6: Final answer
    x = 9,638.45

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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.