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Finding the Fourth Proportional to 9,478.86, 14,221.02 and 3,931.17

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Solution

The fourth proportional to 9,478.86, 14,221.02 and 3,931.17 is: 5,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.86 : 14,221.02 = 3,931.17 : x
  2. Step 2: Convert to fraction form
    9,478.86/14,221.02 = 3,931.17/x
  3. Step 3: Cross multiply
    9,478.86x = 14,221.02 × 3,931.17
  4. Step 4: Simplify right side
    9,478.86x = 55,905,247.19
  5. Step 5: Solve for x
    x = 55,905,247.19/9,478.86
  6. Step 6: Final answer
    x = 5,897.89

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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.