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Finding the Fourth Proportional to 12,677.22, 19,006.14 and 7,678.53

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Solution

The fourth proportional to 12,677.22, 19,006.14 and 7,678.53 is: 11,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.22 : 19,006.14 = 7,678.53 : x
  2. Step 2: Convert to fraction form
    12,677.22/19,006.14 = 7,678.53/x
  3. Step 3: Cross multiply
    12,677.22x = 19,006.14 × 7,678.53
  4. Step 4: Simplify right side
    12,677.22x = 145,939,216.17
  5. Step 5: Solve for x
    x = 145,939,216.17/12,677.22
  6. Step 6: Final answer
    x = 11,511.93

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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.