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Finding the Fourth Proportional to 3,442.57, 4,750.61 and 1,870.63

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Solution

The fourth proportional to 3,442.57, 4,750.61 and 1,870.63 is: 2,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.57 : 4,750.61 = 1,870.63 : x
  2. Step 2: Convert to fraction form
    3,442.57/4,750.61 = 1,870.63/x
  3. Step 3: Cross multiply
    3,442.57x = 4,750.61 × 1,870.63
  4. Step 4: Simplify right side
    3,442.57x = 8,886,612.35
  5. Step 5: Solve for x
    x = 8,886,612.35/3,442.57
  6. Step 6: Final answer
    x = 2,581.39

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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.