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Finding the Fourth Proportional to 28,632.96, 42,948 and 7,856.48

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Solution

The fourth proportional to 28,632.96, 42,948 and 7,856.48 is: 11,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,632.96 : 42,948 = 7,856.48 : x
  2. Step 2: Convert to fraction form
    28,632.96/42,948 = 7,856.48/x
  3. Step 3: Cross multiply
    28,632.96x = 42,948 × 7,856.48
  4. Step 4: Simplify right side
    28,632.96x = 337,420,103.04
  5. Step 5: Solve for x
    x = 337,420,103.04/28,632.96
  6. Step 6: Final answer
    x = 11,784.32

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1.5x scale

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.