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Finding the Fourth Proportional to 9,628.90, 14,415.27 and 8,628.46

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Solution

The fourth proportional to 9,628.90, 14,415.27 and 8,628.46 is: 12,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.90 : 14,415.27 = 8,628.46 : x
  2. Step 2: Convert to fraction form
    9,628.90/14,415.27 = 8,628.46/x
  3. Step 3: Cross multiply
    9,628.90x = 14,415.27 × 8,628.46
  4. Step 4: Simplify right side
    9,628.90x = 124,381,580.58
  5. Step 5: Solve for x
    x = 124,381,580.58/9,628.90
  6. Step 6: Final answer
    x = 12,917.53

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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.