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Finding the Fourth Proportional to 12,709, 19,066.38 and 4,501

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Solution

The fourth proportional to 12,709, 19,066.38 and 4,501 is: 6,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709 : 19,066.38 = 4,501 : x
  2. Step 2: Convert to fraction form
    12,709/19,066.38 = 4,501/x
  3. Step 3: Cross multiply
    12,709x = 19,066.38 × 4,501
  4. Step 4: Simplify right side
    12,709x = 85,817,776.38
  5. Step 5: Solve for x
    x = 85,817,776.38/12,709
  6. Step 6: Final answer
    x = 6,752.52

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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.