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Finding the Fourth Proportional to 2,854.60, 4,281.90 and 2,830.30

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Solution

The fourth proportional to 2,854.60, 4,281.90 and 2,830.30 is: 4,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.60 : 4,281.90 = 2,830.30 : x
  2. Step 2: Convert to fraction form
    2,854.60/4,281.90 = 2,830.30/x
  3. Step 3: Cross multiply
    2,854.60x = 4,281.90 × 2,830.30
  4. Step 4: Simplify right side
    2,854.60x = 12,119,061.57
  5. Step 5: Solve for x
    x = 12,119,061.57/2,854.60
  6. Step 6: Final answer
    x = 4,245.45

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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.