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Finding the Fourth Proportional to 14,068, 21,069.69 and 7,026.40

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Solution

The fourth proportional to 14,068, 21,069.69 and 7,026.40 is: 10,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068 : 21,069.69 = 7,026.40 : x
  2. Step 2: Convert to fraction form
    14,068/21,069.69 = 7,026.40/x
  3. Step 3: Cross multiply
    14,068x = 21,069.69 × 7,026.40
  4. Step 4: Simplify right side
    14,068x = 148,044,069.82
  5. Step 5: Solve for x
    x = 148,044,069.82/14,068
  6. Step 6: Final answer
    x = 10,523.46

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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.