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Finding the Fourth Proportional to 4,547.86, 6,821.74 and 1,260.84

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Solution

The fourth proportional to 4,547.86, 6,821.74 and 1,260.84 is: 1,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.86 : 6,821.74 = 1,260.84 : x
  2. Step 2: Convert to fraction form
    4,547.86/6,821.74 = 1,260.84/x
  3. Step 3: Cross multiply
    4,547.86x = 6,821.74 × 1,260.84
  4. Step 4: Simplify right side
    4,547.86x = 8,601,122.66
  5. Step 5: Solve for x
    x = 8,601,122.66/4,547.86
  6. Step 6: Final answer
    x = 1,891.25

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1.5x scale

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.