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Finding the Fourth Proportional to 2,802.60, 4,203.90 and 1,709.10

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Solution

The fourth proportional to 2,802.60, 4,203.90 and 1,709.10 is: 2,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.60 : 4,203.90 = 1,709.10 : x
  2. Step 2: Convert to fraction form
    2,802.60/4,203.90 = 1,709.10/x
  3. Step 3: Cross multiply
    2,802.60x = 4,203.90 × 1,709.10
  4. Step 4: Simplify right side
    2,802.60x = 7,184,885.49
  5. Step 5: Solve for x
    x = 7,184,885.49/2,802.60
  6. Step 6: Final answer
    x = 2,563.65

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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.