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Finding the Fourth Proportional to 14,333.84, 19,780.84 and 7,960.56

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Solution

The fourth proportional to 14,333.84, 19,780.84 and 7,960.56 is: 10,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.84 : 19,780.84 = 7,960.56 : x
  2. Step 2: Convert to fraction form
    14,333.84/19,780.84 = 7,960.56/x
  3. Step 3: Cross multiply
    14,333.84x = 19,780.84 × 7,960.56
  4. Step 4: Simplify right side
    14,333.84x = 157,466,563.67
  5. Step 5: Solve for x
    x = 157,466,563.67/14,333.84
  6. Step 6: Final answer
    x = 10,985.65

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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.