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Finding the Fourth Proportional to 21,117, 31,674.24 and 7,967.64

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Solution

The fourth proportional to 21,117, 31,674.24 and 7,967.64 is: 11,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117 : 31,674.24 = 7,967.64 : x
  2. Step 2: Convert to fraction form
    21,117/31,674.24 = 7,967.64/x
  3. Step 3: Cross multiply
    21,117x = 31,674.24 × 7,967.64
  4. Step 4: Simplify right side
    21,117x = 252,368,941.59
  5. Step 5: Solve for x
    x = 252,368,941.59/21,117
  6. Step 6: Final answer
    x = 11,950.98

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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.