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Finding the Fourth Proportional to 10,435.64, 14,415 and 7,778.44

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Solution

The fourth proportional to 10,435.64, 14,415 and 7,778.44 is: 10,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.64 : 14,415 = 7,778.44 : x
  2. Step 2: Convert to fraction form
    10,435.64/14,415 = 7,778.44/x
  3. Step 3: Cross multiply
    10,435.64x = 14,415 × 7,778.44
  4. Step 4: Simplify right side
    10,435.64x = 112,126,212.60
  5. Step 5: Solve for x
    x = 112,126,212.60/10,435.64
  6. Step 6: Final answer
    x = 10,744.55

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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.