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Finding the Fourth Proportional to 10,565.78, 14,580.94 and 5,785.64

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Solution

The fourth proportional to 10,565.78, 14,580.94 and 5,785.64 is: 7,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.78 : 14,580.94 = 5,785.64 : x
  2. Step 2: Convert to fraction form
    10,565.78/14,580.94 = 5,785.64/x
  3. Step 3: Cross multiply
    10,565.78x = 14,580.94 × 5,785.64
  4. Step 4: Simplify right side
    10,565.78x = 84,360,146.15
  5. Step 5: Solve for x
    x = 84,360,146.15/10,565.78
  6. Step 6: Final answer
    x = 7,984.28

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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.