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Finding the Fourth Proportional to 11,435.54, 15,781.54 and 7,070.83

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Solution

The fourth proportional to 11,435.54, 15,781.54 and 7,070.83 is: 9,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.54 : 15,781.54 = 7,070.83 : x
  2. Step 2: Convert to fraction form
    11,435.54/15,781.54 = 7,070.83/x
  3. Step 3: Cross multiply
    11,435.54x = 15,781.54 × 7,070.83
  4. Step 4: Simplify right side
    11,435.54x = 111,588,529.35
  5. Step 5: Solve for x
    x = 111,588,529.35/11,435.54
  6. Step 6: Final answer
    x = 9,758.04

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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.