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Finding the Fourth Proportional to 12,706, 19,064.76 and 6,130.96

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Solution

The fourth proportional to 12,706, 19,064.76 and 6,130.96 is: 9,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706 : 19,064.76 = 6,130.96 : x
  2. Step 2: Convert to fraction form
    12,706/19,064.76 = 6,130.96/x
  3. Step 3: Cross multiply
    12,706x = 19,064.76 × 6,130.96
  4. Step 4: Simplify right side
    12,706x = 116,885,280.97
  5. Step 5: Solve for x
    x = 116,885,280.97/12,706
  6. Step 6: Final answer
    x = 9,199.22

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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.