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Finding the Fourth Proportional to 6,494.60, 8,962.62 and 3,510.50

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Solution

The fourth proportional to 6,494.60, 8,962.62 and 3,510.50 is: 4,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.60 : 8,962.62 = 3,510.50 : x
  2. Step 2: Convert to fraction form
    6,494.60/8,962.62 = 3,510.50/x
  3. Step 3: Cross multiply
    6,494.60x = 8,962.62 × 3,510.50
  4. Step 4: Simplify right side
    6,494.60x = 31,463,219.53
  5. Step 5: Solve for x
    x = 31,463,219.53/6,494.60
  6. Step 6: Final answer
    x = 4,844.52

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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.