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Finding the Fourth Proportional to 14,071.71, 21,097.14 and 8,523.72

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Solution

The fourth proportional to 14,071.71, 21,097.14 and 8,523.72 is: 12,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.71 : 21,097.14 = 8,523.72 : x
  2. Step 2: Convert to fraction form
    14,071.71/21,097.14 = 8,523.72/x
  3. Step 3: Cross multiply
    14,071.71x = 21,097.14 × 8,523.72
  4. Step 4: Simplify right side
    14,071.71x = 179,826,114.16
  5. Step 5: Solve for x
    x = 179,826,114.16/14,071.71
  6. Step 6: Final answer
    x = 12,779.27

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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.