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Finding the Fourth Proportional to 7,841.76, 10,821.59 and 4,256.79

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Solution

The fourth proportional to 7,841.76, 10,821.59 and 4,256.79 is: 5,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.76 : 10,821.59 = 4,256.79 : x
  2. Step 2: Convert to fraction form
    7,841.76/10,821.59 = 4,256.79/x
  3. Step 3: Cross multiply
    7,841.76x = 10,821.59 × 4,256.79
  4. Step 4: Simplify right side
    7,841.76x = 46,065,214.81
  5. Step 5: Solve for x
    x = 46,065,214.81/7,841.76
  6. Step 6: Final answer
    x = 5,874.35

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1.5x scale

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.