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Finding the Fourth Proportional to 31,320.54, 46,980.54 and 7,946.64

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Solution

The fourth proportional to 31,320.54, 46,980.54 and 7,946.64 is: 11,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320.54 : 46,980.54 = 7,946.64 : x
  2. Step 2: Convert to fraction form
    31,320.54/46,980.54 = 7,946.64/x
  3. Step 3: Cross multiply
    31,320.54x = 46,980.54 × 7,946.64
  4. Step 4: Simplify right side
    31,320.54x = 373,337,438.39
  5. Step 5: Solve for x
    x = 373,337,438.39/31,320.54
  6. Step 6: Final answer
    x = 11,919.89

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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.