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Finding the Fourth Proportional to 15,871, 21,899.95 and 9,156.64

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Solution

The fourth proportional to 15,871, 21,899.95 and 9,156.64 is: 12,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871 : 21,899.95 = 9,156.64 : x
  2. Step 2: Convert to fraction form
    15,871/21,899.95 = 9,156.64/x
  3. Step 3: Cross multiply
    15,871x = 21,899.95 × 9,156.64
  4. Step 4: Simplify right side
    15,871x = 200,529,958.17
  5. Step 5: Solve for x
    x = 200,529,958.17/15,871
  6. Step 6: Final answer
    x = 12,634.99

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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.