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Finding the Fourth Proportional to 14,238.63, 21,360 and 4,378.74

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Solution

The fourth proportional to 14,238.63, 21,360 and 4,378.74 is: 6,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.63 : 21,360 = 4,378.74 : x
  2. Step 2: Convert to fraction form
    14,238.63/21,360 = 4,378.74/x
  3. Step 3: Cross multiply
    14,238.63x = 21,360 × 4,378.74
  4. Step 4: Simplify right side
    14,238.63x = 93,529,886.40
  5. Step 5: Solve for x
    x = 93,529,886.40/14,238.63
  6. Step 6: Final answer
    x = 6,568.74

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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.