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Finding the Fourth Proportional to 3,430.81, 4,734.51 and 1,858.90

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Solution

The fourth proportional to 3,430.81, 4,734.51 and 1,858.90 is: 2,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.81 : 4,734.51 = 1,858.90 : x
  2. Step 2: Convert to fraction form
    3,430.81/4,734.51 = 1,858.90/x
  3. Step 3: Cross multiply
    3,430.81x = 4,734.51 × 1,858.90
  4. Step 4: Simplify right side
    3,430.81x = 8,800,980.64
  5. Step 5: Solve for x
    x = 8,800,980.64/3,430.81
  6. Step 6: Final answer
    x = 2,565.28

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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.