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Finding the Fourth Proportional to 3,111, 4,666.52 and 1,164.12

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Solution

The fourth proportional to 3,111, 4,666.52 and 1,164.12 is: 1,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111 : 4,666.52 = 1,164.12 : x
  2. Step 2: Convert to fraction form
    3,111/4,666.52 = 1,164.12/x
  3. Step 3: Cross multiply
    3,111x = 4,666.52 × 1,164.12
  4. Step 4: Simplify right side
    3,111x = 5,432,389.26
  5. Step 5: Solve for x
    x = 5,432,389.26/3,111
  6. Step 6: Final answer
    x = 1,746.19

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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.