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Finding the Fourth Proportional to 2,803.12, 4,204.92 and 953.62

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Solution

The fourth proportional to 2,803.12, 4,204.92 and 953.62 is: 1,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.12 : 4,204.92 = 953.62 : x
  2. Step 2: Convert to fraction form
    2,803.12/4,204.92 = 953.62/x
  3. Step 3: Cross multiply
    2,803.12x = 4,204.92 × 953.62
  4. Step 4: Simplify right side
    2,803.12x = 4,009,895.81
  5. Step 5: Solve for x
    x = 4,009,895.81/2,803.12
  6. Step 6: Final answer
    x = 1,430.51

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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.