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Finding the Fourth Proportional to 15,856.13, 21,881.40 and 8,782.40

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Solution

The fourth proportional to 15,856.13, 21,881.40 and 8,782.40 is: 12,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.13 : 21,881.40 = 8,782.40 : x
  2. Step 2: Convert to fraction form
    15,856.13/21,881.40 = 8,782.40/x
  3. Step 3: Cross multiply
    15,856.13x = 21,881.40 × 8,782.40
  4. Step 4: Simplify right side
    15,856.13x = 192,171,207.36
  5. Step 5: Solve for x
    x = 192,171,207.36/15,856.13
  6. Step 6: Final answer
    x = 12,119.68

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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.