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Finding the Fourth Proportional to 15,784.74, 21,781.78 and 9,070.38

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Solution

The fourth proportional to 15,784.74, 21,781.78 and 9,070.38 is: 12,516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.74 : 21,781.78 = 9,070.38 : x
  2. Step 2: Convert to fraction form
    15,784.74/21,781.78 = 9,070.38/x
  3. Step 3: Cross multiply
    15,784.74x = 21,781.78 × 9,070.38
  4. Step 4: Simplify right side
    15,784.74x = 197,568,999.00
  5. Step 5: Solve for x
    x = 197,568,999.00/15,784.74
  6. Step 6: Final answer
    x = 12,516.46

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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.