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Finding the Fourth Proportional to 9,643.86, 14,455.86 and 4,382.53

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Solution

The fourth proportional to 9,643.86, 14,455.86 and 4,382.53 is: 6,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.86 : 14,455.86 = 4,382.53 : x
  2. Step 2: Convert to fraction form
    9,643.86/14,455.86 = 4,382.53/x
  3. Step 3: Cross multiply
    9,643.86x = 14,455.86 × 4,382.53
  4. Step 4: Simplify right side
    9,643.86x = 63,353,214.94
  5. Step 5: Solve for x
    x = 63,353,214.94/9,643.86
  6. Step 6: Final answer
    x = 6,569.28

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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.