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Finding the Fourth Proportional to 4,742, 6,540.54 and 4,111.40

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Solution

The fourth proportional to 4,742, 6,540.54 and 4,111.40 is: 5,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 6,540.54 = 4,111.40 : x
  2. Step 2: Convert to fraction form
    4,742/6,540.54 = 4,111.40/x
  3. Step 3: Cross multiply
    4,742x = 6,540.54 × 4,111.40
  4. Step 4: Simplify right side
    4,742x = 26,890,776.16
  5. Step 5: Solve for x
    x = 26,890,776.16/4,742
  6. Step 6: Final answer
    x = 5,670.77

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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.