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Finding the Fourth Proportional to 10,695.96, 14,745.60 and 9,219.60

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Solution

The fourth proportional to 10,695.96, 14,745.60 and 9,219.60 is: 12,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.96 : 14,745.60 = 9,219.60 : x
  2. Step 2: Convert to fraction form
    10,695.96/14,745.60 = 9,219.60/x
  3. Step 3: Cross multiply
    10,695.96x = 14,745.60 × 9,219.60
  4. Step 4: Simplify right side
    10,695.96x = 135,948,533.76
  5. Step 5: Solve for x
    x = 135,948,533.76/10,695.96
  6. Step 6: Final answer
    x = 12,710.27

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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.