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Finding the Fourth Proportional to 12,583, 18,947.89 and 9,319.24

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Solution

The fourth proportional to 12,583, 18,947.89 and 9,319.24 is: 14,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583 : 18,947.89 = 9,319.24 : x
  2. Step 2: Convert to fraction form
    12,583/18,947.89 = 9,319.24/x
  3. Step 3: Cross multiply
    12,583x = 18,947.89 × 9,319.24
  4. Step 4: Simplify right side
    12,583x = 176,579,934.40
  5. Step 5: Solve for x
    x = 176,579,934.40/12,583
  6. Step 6: Final answer
    x = 14,033.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.