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Finding the Fourth Proportional to 6,423, 9,636.45 and 4,552.51

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Solution

The fourth proportional to 6,423, 9,636.45 and 4,552.51 is: 6,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423 : 9,636.45 = 4,552.51 : x
  2. Step 2: Convert to fraction form
    6,423/9,636.45 = 4,552.51/x
  3. Step 3: Cross multiply
    6,423x = 9,636.45 × 4,552.51
  4. Step 4: Simplify right side
    6,423x = 43,870,012.23
  5. Step 5: Solve for x
    x = 43,870,012.23/6,423
  6. Step 6: Final answer
    x = 6,830.14

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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.