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Finding the Fourth Proportional to 5,905.96, 8,812.67 and 5,285.40

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Solution

The fourth proportional to 5,905.96, 8,812.67 and 5,285.40 is: 7,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.96 : 8,812.67 = 5,285.40 : x
  2. Step 2: Convert to fraction form
    5,905.96/8,812.67 = 5,285.40/x
  3. Step 3: Cross multiply
    5,905.96x = 8,812.67 × 5,285.40
  4. Step 4: Simplify right side
    5,905.96x = 46,578,415.53
  5. Step 5: Solve for x
    x = 46,578,415.53/5,905.96
  6. Step 6: Final answer
    x = 7,886.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.