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Finding the Fourth Proportional to 4,700.90, 6,486.80 and 2,812.10

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Solution

The fourth proportional to 4,700.90, 6,486.80 and 2,812.10 is: 3,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.90 : 6,486.80 = 2,812.10 : x
  2. Step 2: Convert to fraction form
    4,700.90/6,486.80 = 2,812.10/x
  3. Step 3: Cross multiply
    4,700.90x = 6,486.80 × 2,812.10
  4. Step 4: Simplify right side
    4,700.90x = 18,241,483.79
  5. Step 5: Solve for x
    x = 18,241,483.79/4,700.90
  6. Step 6: Final answer
    x = 3,880.43

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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.