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Finding the Fourth Proportional to 10,555, 14,564.64 and 5,838.64

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Solution

The fourth proportional to 10,555, 14,564.64 and 5,838.64 is: 8,056.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555 : 14,564.64 = 5,838.64 : x
  2. Step 2: Convert to fraction form
    10,555/14,564.64 = 5,838.64/x
  3. Step 3: Cross multiply
    10,555x = 14,564.64 × 5,838.64
  4. Step 4: Simplify right side
    10,555x = 85,037,689.69
  5. Step 5: Solve for x
    x = 85,037,689.69/10,555
  6. Step 6: Final answer
    x = 8,056.63

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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.