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Finding the Fourth Proportional to 15,785.84, 21,784.59 and 8,615.81

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Solution

The fourth proportional to 15,785.84, 21,784.59 and 8,615.81 is: 11,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.84 : 21,784.59 = 8,615.81 : x
  2. Step 2: Convert to fraction form
    15,785.84/21,784.59 = 8,615.81/x
  3. Step 3: Cross multiply
    15,785.84x = 21,784.59 × 8,615.81
  4. Step 4: Simplify right side
    15,785.84x = 187,691,888.37
  5. Step 5: Solve for x
    x = 187,691,888.37/15,785.84
  6. Step 6: Final answer
    x = 11,889.89

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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.