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Finding the Fourth Proportional to 10,580.52, 14,599.80 and 5,865.78

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Solution

The fourth proportional to 10,580.52, 14,599.80 and 5,865.78 is: 8,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.52 : 14,599.80 = 5,865.78 : x
  2. Step 2: Convert to fraction form
    10,580.52/14,599.80 = 5,865.78/x
  3. Step 3: Cross multiply
    10,580.52x = 14,599.80 × 5,865.78
  4. Step 4: Simplify right side
    10,580.52x = 85,639,214.84
  5. Step 5: Solve for x
    x = 85,639,214.84/10,580.52
  6. Step 6: Final answer
    x = 8,094.05

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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.