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Finding the Fourth Proportional to 4,700.90, 7,056.48 and 3,464.48

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Solution

The fourth proportional to 4,700.90, 7,056.48 and 3,464.48 is: 5,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.90 : 7,056.48 = 3,464.48 : x
  2. Step 2: Convert to fraction form
    4,700.90/7,056.48 = 3,464.48/x
  3. Step 3: Cross multiply
    4,700.90x = 7,056.48 × 3,464.48
  4. Step 4: Simplify right side
    4,700.90x = 24,447,033.83
  5. Step 5: Solve for x
    x = 24,447,033.83/4,700.90
  6. Step 6: Final answer
    x = 5,200.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.