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Finding the Fourth Proportional to 7,845, 10,823.46 and 4,485.42

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Solution

The fourth proportional to 7,845, 10,823.46 and 4,485.42 is: 6,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,845 : 10,823.46 = 4,485.42 : x
  2. Step 2: Convert to fraction form
    7,845/10,823.46 = 4,485.42/x
  3. Step 3: Cross multiply
    7,845x = 10,823.46 × 4,485.42
  4. Step 4: Simplify right side
    7,845x = 48,547,763.95
  5. Step 5: Solve for x
    x = 48,547,763.95/7,845
  6. Step 6: Final answer
    x = 6,188.37

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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.