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Finding the Fourth Proportional to 10,070.64, 15,106.77 and 3,407.07

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Solution

The fourth proportional to 10,070.64, 15,106.77 and 3,407.07 is: 5,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.64 : 15,106.77 = 3,407.07 : x
  2. Step 2: Convert to fraction form
    10,070.64/15,106.77 = 3,407.07/x
  3. Step 3: Cross multiply
    10,070.64x = 15,106.77 × 3,407.07
  4. Step 4: Simplify right side
    10,070.64x = 51,469,879.51
  5. Step 5: Solve for x
    x = 51,469,879.51/10,070.64
  6. Step 6: Final answer
    x = 5,110.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.