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Finding the Fourth Proportional to 10,360.91, 14,298 and 5,645.18

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Solution

The fourth proportional to 10,360.91, 14,298 and 5,645.18 is: 7,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.91 : 14,298 = 5,645.18 : x
  2. Step 2: Convert to fraction form
    10,360.91/14,298 = 5,645.18/x
  3. Step 3: Cross multiply
    10,360.91x = 14,298 × 5,645.18
  4. Step 4: Simplify right side
    10,360.91x = 80,714,783.64
  5. Step 5: Solve for x
    x = 80,714,783.64/10,360.91
  6. Step 6: Final answer
    x = 7,790.32

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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.