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Finding the Fourth Proportional to 15,870.50, 21,899.27 and 9,156.14

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Solution

The fourth proportional to 15,870.50, 21,899.27 and 9,156.14 is: 12,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.50 : 21,899.27 = 9,156.14 : x
  2. Step 2: Convert to fraction form
    15,870.50/21,899.27 = 9,156.14/x
  3. Step 3: Cross multiply
    15,870.50x = 21,899.27 × 9,156.14
  4. Step 4: Simplify right side
    15,870.50x = 200,512,736.24
  5. Step 5: Solve for x
    x = 200,512,736.24/15,870.50
  6. Step 6: Final answer
    x = 12,634.30

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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.