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Finding the Fourth Proportional to 12,477.78, 17,221.05 and 8,006.58

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Solution

The fourth proportional to 12,477.78, 17,221.05 and 8,006.58 is: 11,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.78 : 17,221.05 = 8,006.58 : x
  2. Step 2: Convert to fraction form
    12,477.78/17,221.05 = 8,006.58/x
  3. Step 3: Cross multiply
    12,477.78x = 17,221.05 × 8,006.58
  4. Step 4: Simplify right side
    12,477.78x = 137,881,714.51
  5. Step 5: Solve for x
    x = 137,881,714.51/12,477.78
  6. Step 6: Final answer
    x = 11,050.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.