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Finding the Fourth Proportional to 14,138.18, 19,510.86 and 7,763.84

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Solution

The fourth proportional to 14,138.18, 19,510.86 and 7,763.84 is: 10,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.18 : 19,510.86 = 7,763.84 : x
  2. Step 2: Convert to fraction form
    14,138.18/19,510.86 = 7,763.84/x
  3. Step 3: Cross multiply
    14,138.18x = 19,510.86 × 7,763.84
  4. Step 4: Simplify right side
    14,138.18x = 151,479,200.03
  5. Step 5: Solve for x
    x = 151,479,200.03/14,138.18
  6. Step 6: Final answer
    x = 10,714.19

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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.