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Finding the Fourth Proportional to 4,547.63, 6,821.90 and 1,260.74

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Solution

The fourth proportional to 4,547.63, 6,821.90 and 1,260.74 is: 1,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.63 : 6,821.90 = 1,260.74 : x
  2. Step 2: Convert to fraction form
    4,547.63/6,821.90 = 1,260.74/x
  3. Step 3: Cross multiply
    4,547.63x = 6,821.90 × 1,260.74
  4. Step 4: Simplify right side
    4,547.63x = 8,600,642.21
  5. Step 5: Solve for x
    x = 8,600,642.21/4,547.63
  6. Step 6: Final answer
    x = 1,891.24

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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.