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Finding the Fourth Proportional to 10,446.96, 14,400.41 and 7,918.95

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Solution

The fourth proportional to 10,446.96, 14,400.41 and 7,918.95 is: 10,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.96 : 14,400.41 = 7,918.95 : x
  2. Step 2: Convert to fraction form
    10,446.96/14,400.41 = 7,918.95/x
  3. Step 3: Cross multiply
    10,446.96x = 14,400.41 × 7,918.95
  4. Step 4: Simplify right side
    10,446.96x = 114,036,126.77
  5. Step 5: Solve for x
    x = 114,036,126.77/10,446.96
  6. Step 6: Final answer
    x = 10,915.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.