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Finding the Fourth Proportional to 14,260.78, 19,683 and 8,295.88

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Solution

The fourth proportional to 14,260.78, 19,683 and 8,295.88 is: 11,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.78 : 19,683 = 8,295.88 : x
  2. Step 2: Convert to fraction form
    14,260.78/19,683 = 8,295.88/x
  3. Step 3: Cross multiply
    14,260.78x = 19,683 × 8,295.88
  4. Step 4: Simplify right side
    14,260.78x = 163,287,806.04
  5. Step 5: Solve for x
    x = 163,287,806.04/14,260.78
  6. Step 6: Final answer
    x = 11,450.13

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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.