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Finding the Fourth Proportional to 9,639, 14,448.65 and 5,470.20

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Solution

The fourth proportional to 9,639, 14,448.65 and 5,470.20 is: 8,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 14,448.65 = 5,470.20 : x
  2. Step 2: Convert to fraction form
    9,639/14,448.65 = 5,470.20/x
  3. Step 3: Cross multiply
    9,639x = 14,448.65 × 5,470.20
  4. Step 4: Simplify right side
    9,639x = 79,037,018.91
  5. Step 5: Solve for x
    x = 79,037,018.91/9,639
  6. Step 6: Final answer
    x = 8,199.71

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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.