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Finding the Fourth Proportional to 14,356.87, 19,811.06 and 8,978.27

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Solution

The fourth proportional to 14,356.87, 19,811.06 and 8,978.27 is: 12,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.87 : 19,811.06 = 8,978.27 : x
  2. Step 2: Convert to fraction form
    14,356.87/19,811.06 = 8,978.27/x
  3. Step 3: Cross multiply
    14,356.87x = 19,811.06 × 8,978.27
  4. Step 4: Simplify right side
    14,356.87x = 177,869,009.68
  5. Step 5: Solve for x
    x = 177,869,009.68/14,356.87
  6. Step 6: Final answer
    x = 12,389.12

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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.