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Finding the Fourth Proportional to 12,323, 18,486.94 and 6,303.90

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Solution

The fourth proportional to 12,323, 18,486.94 and 6,303.90 is: 9,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323 : 18,486.94 = 6,303.90 : x
  2. Step 2: Convert to fraction form
    12,323/18,486.94 = 6,303.90/x
  3. Step 3: Cross multiply
    12,323x = 18,486.94 × 6,303.90
  4. Step 4: Simplify right side
    12,323x = 116,539,821.07
  5. Step 5: Solve for x
    x = 116,539,821.07/12,323
  6. Step 6: Final answer
    x = 9,457.10

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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.