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Finding the Fourth Proportional to 14,575, 21,867.11 and 5,214.81

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Solution

The fourth proportional to 14,575, 21,867.11 and 5,214.81 is: 7,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575 : 21,867.11 = 5,214.81 : x
  2. Step 2: Convert to fraction form
    14,575/21,867.11 = 5,214.81/x
  3. Step 3: Cross multiply
    14,575x = 21,867.11 × 5,214.81
  4. Step 4: Simplify right side
    14,575x = 114,032,823.90
  5. Step 5: Solve for x
    x = 114,032,823.90/14,575
  6. Step 6: Final answer
    x = 7,823.86

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1.5x scale

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.