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Finding the Fourth Proportional to 2,975.04, 4,105.02 and 1,715.80

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Solution

The fourth proportional to 2,975.04, 4,105.02 and 1,715.80 is: 2,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.04 : 4,105.02 = 1,715.80 : x
  2. Step 2: Convert to fraction form
    2,975.04/4,105.02 = 1,715.80/x
  3. Step 3: Cross multiply
    2,975.04x = 4,105.02 × 1,715.80
  4. Step 4: Simplify right side
    2,975.04x = 7,043,393.32
  5. Step 5: Solve for x
    x = 7,043,393.32/2,975.04
  6. Step 6: Final answer
    x = 2,367.50

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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.