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Finding the Fourth Proportional to 14,139.20, 19,512.48 and 7,851.20

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Solution

The fourth proportional to 14,139.20, 19,512.48 and 7,851.20 is: 10,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.20 : 19,512.48 = 7,851.20 : x
  2. Step 2: Convert to fraction form
    14,139.20/19,512.48 = 7,851.20/x
  3. Step 3: Cross multiply
    14,139.20x = 19,512.48 × 7,851.20
  4. Step 4: Simplify right side
    14,139.20x = 153,196,382.98
  5. Step 5: Solve for x
    x = 153,196,382.98/14,139.20
  6. Step 6: Final answer
    x = 10,834.87

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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.