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Finding the Fourth Proportional to 9,830.65, 14,748.31 and 4,284.99

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Solution

The fourth proportional to 9,830.65, 14,748.31 and 4,284.99 is: 6,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.65 : 14,748.31 = 4,284.99 : x
  2. Step 2: Convert to fraction form
    9,830.65/14,748.31 = 4,284.99/x
  3. Step 3: Cross multiply
    9,830.65x = 14,748.31 × 4,284.99
  4. Step 4: Simplify right side
    9,830.65x = 63,196,286.81
  5. Step 5: Solve for x
    x = 63,196,286.81/9,830.65
  6. Step 6: Final answer
    x = 6,428.49

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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.