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Finding the Fourth Proportional to 8,580, 11,833.92 and 5,931.84

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Solution

The fourth proportional to 8,580, 11,833.92 and 5,931.84 is: 8,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 11,833.92 = 5,931.84 : x
  2. Step 2: Convert to fraction form
    8,580/11,833.92 = 5,931.84/x
  3. Step 3: Cross multiply
    8,580x = 11,833.92 × 5,931.84
  4. Step 4: Simplify right side
    8,580x = 70,196,920.01
  5. Step 5: Solve for x
    x = 70,196,920.01/8,580
  6. Step 6: Final answer
    x = 8,181.46

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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.