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Finding the Fourth Proportional to 12,710, 19,070.76 and 6,134.96

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Solution

The fourth proportional to 12,710, 19,070.76 and 6,134.96 is: 9,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710 : 19,070.76 = 6,134.96 : x
  2. Step 2: Convert to fraction form
    12,710/19,070.76 = 6,134.96/x
  3. Step 3: Cross multiply
    12,710x = 19,070.76 × 6,134.96
  4. Step 4: Simplify right side
    12,710x = 116,998,349.77
  5. Step 5: Solve for x
    x = 116,998,349.77/12,710
  6. Step 6: Final answer
    x = 9,205.22

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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.