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Finding the Fourth Proportional to 9,819.69, 14,709.78 and 4,547.28

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Solution

The fourth proportional to 9,819.69, 14,709.78 and 4,547.28 is: 6,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.69 : 14,709.78 = 4,547.28 : x
  2. Step 2: Convert to fraction form
    9,819.69/14,709.78 = 4,547.28/x
  3. Step 3: Cross multiply
    9,819.69x = 14,709.78 × 4,547.28
  4. Step 4: Simplify right side
    9,819.69x = 66,889,488.40
  5. Step 5: Solve for x
    x = 66,889,488.40/9,819.69
  6. Step 6: Final answer
    x = 6,811.77

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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.