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Finding the Fourth Proportional to 14,903.96, 20,567.72 and 8,189.87

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Solution

The fourth proportional to 14,903.96, 20,567.72 and 8,189.87 is: 11,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.96 : 20,567.72 = 8,189.87 : x
  2. Step 2: Convert to fraction form
    14,903.96/20,567.72 = 8,189.87/x
  3. Step 3: Cross multiply
    14,903.96x = 20,567.72 × 8,189.87
  4. Step 4: Simplify right side
    14,903.96x = 168,446,870.63
  5. Step 5: Solve for x
    x = 168,446,870.63/14,903.96
  6. Step 6: Final answer
    x = 11,302.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.