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Finding the Fourth Proportional to 31,608.86, 47,416 and 8,235.26

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Solution

The fourth proportional to 31,608.86, 47,416 and 8,235.26 is: 12,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.86 : 47,416 = 8,235.26 : x
  2. Step 2: Convert to fraction form
    31,608.86/47,416 = 8,235.26/x
  3. Step 3: Cross multiply
    31,608.86x = 47,416 × 8,235.26
  4. Step 4: Simplify right side
    31,608.86x = 390,483,088.16
  5. Step 5: Solve for x
    x = 390,483,088.16/31,608.86
  6. Step 6: Final answer
    x = 12,353.60

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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.