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Finding the Fourth Proportional to 5,821.84, 8,009.64 and 4,815.76

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Solution

The fourth proportional to 5,821.84, 8,009.64 and 4,815.76 is: 6,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.84 : 8,009.64 = 4,815.76 : x
  2. Step 2: Convert to fraction form
    5,821.84/8,009.64 = 4,815.76/x
  3. Step 3: Cross multiply
    5,821.84x = 8,009.64 × 4,815.76
  4. Step 4: Simplify right side
    5,821.84x = 38,572,503.93
  5. Step 5: Solve for x
    x = 38,572,503.93/5,821.84
  6. Step 6: Final answer
    x = 6,625.48

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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.