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Finding the Fourth Proportional to 7,864.32, 11,784.89 and 5,880.64

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Solution

The fourth proportional to 7,864.32, 11,784.89 and 5,880.64 is: 8,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.32 : 11,784.89 = 5,880.64 : x
  2. Step 2: Convert to fraction form
    7,864.32/11,784.89 = 5,880.64/x
  3. Step 3: Cross multiply
    7,864.32x = 11,784.89 × 5,880.64
  4. Step 4: Simplify right side
    7,864.32x = 69,302,695.53
  5. Step 5: Solve for x
    x = 69,302,695.53/7,864.32
  6. Step 6: Final answer
    x = 8,812.29

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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.