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Finding the Fourth Proportional to 9,271.86, 13,913.86 and 8,656.76

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Solution

The fourth proportional to 9,271.86, 13,913.86 and 8,656.76 is: 12,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.86 : 13,913.86 = 8,656.76 : x
  2. Step 2: Convert to fraction form
    9,271.86/13,913.86 = 8,656.76/x
  3. Step 3: Cross multiply
    9,271.86x = 13,913.86 × 8,656.76
  4. Step 4: Simplify right side
    9,271.86x = 120,448,946.69
  5. Step 5: Solve for x
    x = 120,448,946.69/9,271.86
  6. Step 6: Final answer
    x = 12,990.81

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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.