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Finding the Fourth Proportional to 4,784.57, 6,600.21 and 3,106.89

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Solution

The fourth proportional to 4,784.57, 6,600.21 and 3,106.89 is: 4,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.57 : 6,600.21 = 3,106.89 : x
  2. Step 2: Convert to fraction form
    4,784.57/6,600.21 = 3,106.89/x
  3. Step 3: Cross multiply
    4,784.57x = 6,600.21 × 3,106.89
  4. Step 4: Simplify right side
    4,784.57x = 20,506,126.45
  5. Step 5: Solve for x
    x = 20,506,126.45/4,784.57
  6. Step 6: Final answer
    x = 4,285.89

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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.