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Finding the Fourth Proportional to 6,461.94, 8,962.76 and 6,199.50

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Solution

The fourth proportional to 6,461.94, 8,962.76 and 6,199.50 is: 8,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.94 : 8,962.76 = 6,199.50 : x
  2. Step 2: Convert to fraction form
    6,461.94/8,962.76 = 6,199.50/x
  3. Step 3: Cross multiply
    6,461.94x = 8,962.76 × 6,199.50
  4. Step 4: Simplify right side
    6,461.94x = 55,564,630.62
  5. Step 5: Solve for x
    x = 55,564,630.62/6,461.94
  6. Step 6: Final answer
    x = 8,598.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.