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Finding the Fourth Proportional to 2,976.74, 4,465.10 and 785.63

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Solution

The fourth proportional to 2,976.74, 4,465.10 and 785.63 is: 1,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.74 : 4,465.10 = 785.63 : x
  2. Step 2: Convert to fraction form
    2,976.74/4,465.10 = 785.63/x
  3. Step 3: Cross multiply
    2,976.74x = 4,465.10 × 785.63
  4. Step 4: Simplify right side
    2,976.74x = 3,507,923.75
  5. Step 5: Solve for x
    x = 3,507,923.75/2,976.74
  6. Step 6: Final answer
    x = 1,178.45

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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.