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Finding the Fourth Proportional to 4,911.76, 6,784.86 and 4,561.84

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Solution

The fourth proportional to 4,911.76, 6,784.86 and 4,561.84 is: 6,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.76 : 6,784.86 = 4,561.84 : x
  2. Step 2: Convert to fraction form
    4,911.76/6,784.86 = 4,561.84/x
  3. Step 3: Cross multiply
    4,911.76x = 6,784.86 × 4,561.84
  4. Step 4: Simplify right side
    4,911.76x = 30,951,445.74
  5. Step 5: Solve for x
    x = 30,951,445.74/4,911.76
  6. Step 6: Final answer
    x = 6,301.50

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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.