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Finding the Fourth Proportional to 9,050, 12,485.64 and 5,687.12

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Solution

The fourth proportional to 9,050, 12,485.64 and 5,687.12 is: 7,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050 : 12,485.64 = 5,687.12 : x
  2. Step 2: Convert to fraction form
    9,050/12,485.64 = 5,687.12/x
  3. Step 3: Cross multiply
    9,050x = 12,485.64 × 5,687.12
  4. Step 4: Simplify right side
    9,050x = 71,007,332.96
  5. Step 5: Solve for x
    x = 71,007,332.96/9,050
  6. Step 6: Final answer
    x = 7,846.11

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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.