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Finding the Fourth Proportional to 15,865, 21,893.70 and 9,578.92

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Solution

The fourth proportional to 15,865, 21,893.70 and 9,578.92 is: 13,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865 : 21,893.70 = 9,578.92 : x
  2. Step 2: Convert to fraction form
    15,865/21,893.70 = 9,578.92/x
  3. Step 3: Cross multiply
    15,865x = 21,893.70 × 9,578.92
  4. Step 4: Simplify right side
    15,865x = 209,718,000.80
  5. Step 5: Solve for x
    x = 209,718,000.80/15,865
  6. Step 6: Final answer
    x = 13,218.91

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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.