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Finding the Fourth Proportional to 13,686.31, 20,529.47 and 7,838.83

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Solution

The fourth proportional to 13,686.31, 20,529.47 and 7,838.83 is: 11,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.31 : 20,529.47 = 7,838.83 : x
  2. Step 2: Convert to fraction form
    13,686.31/20,529.47 = 7,838.83/x
  3. Step 3: Cross multiply
    13,686.31x = 20,529.47 × 7,838.83
  4. Step 4: Simplify right side
    13,686.31x = 160,927,025.32
  5. Step 5: Solve for x
    x = 160,927,025.32/13,686.31
  6. Step 6: Final answer
    x = 11,758.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.