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Finding the Fourth Proportional to 7,455.80, 10,285.64 and 5,965.80

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Solution

The fourth proportional to 7,455.80, 10,285.64 and 5,965.80 is: 8,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.80 : 10,285.64 = 5,965.80 : x
  2. Step 2: Convert to fraction form
    7,455.80/10,285.64 = 5,965.80/x
  3. Step 3: Cross multiply
    7,455.80x = 10,285.64 × 5,965.80
  4. Step 4: Simplify right side
    7,455.80x = 61,362,071.11
  5. Step 5: Solve for x
    x = 61,362,071.11/7,455.80
  6. Step 6: Final answer
    x = 8,230.11

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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.