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Finding the Fourth Proportional to 10,784.74, 16,160.64 and 7,261.74

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Solution

The fourth proportional to 10,784.74, 16,160.64 and 7,261.74 is: 10,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.74 : 16,160.64 = 7,261.74 : x
  2. Step 2: Convert to fraction form
    10,784.74/16,160.64 = 7,261.74/x
  3. Step 3: Cross multiply
    10,784.74x = 16,160.64 × 7,261.74
  4. Step 4: Simplify right side
    10,784.74x = 117,354,365.91
  5. Step 5: Solve for x
    x = 117,354,365.91/10,784.74
  6. Step 6: Final answer
    x = 10,881.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.