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Finding the Fourth Proportional to 14,043.12, 19,378.53 and 7,755

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Solution

The fourth proportional to 14,043.12, 19,378.53 and 7,755 is: 10,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043.12 : 19,378.53 = 7,755 : x
  2. Step 2: Convert to fraction form
    14,043.12/19,378.53 = 7,755/x
  3. Step 3: Cross multiply
    14,043.12x = 19,378.53 × 7,755
  4. Step 4: Simplify right side
    14,043.12x = 150,280,500.15
  5. Step 5: Solve for x
    x = 150,280,500.15/14,043.12
  6. Step 6: Final answer
    x = 10,701.36

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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.