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Finding the Fourth Proportional to 2,547.86, 3,821.86 and 1,437.35

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Solution

The fourth proportional to 2,547.86, 3,821.86 and 1,437.35 is: 2,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.86 : 3,821.86 = 1,437.35 : x
  2. Step 2: Convert to fraction form
    2,547.86/3,821.86 = 1,437.35/x
  3. Step 3: Cross multiply
    2,547.86x = 3,821.86 × 1,437.35
  4. Step 4: Simplify right side
    2,547.86x = 5,493,329.12
  5. Step 5: Solve for x
    x = 5,493,329.12/2,547.86
  6. Step 6: Final answer
    x = 2,156.06

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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.