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Finding the Fourth Proportional to 7,047.50, 10,570.41 and 1,853.78

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Solution

The fourth proportional to 7,047.50, 10,570.41 and 1,853.78 is: 2,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.50 : 10,570.41 = 1,853.78 : x
  2. Step 2: Convert to fraction form
    7,047.50/10,570.41 = 1,853.78/x
  3. Step 3: Cross multiply
    7,047.50x = 10,570.41 × 1,853.78
  4. Step 4: Simplify right side
    7,047.50x = 19,595,194.49
  5. Step 5: Solve for x
    x = 19,595,194.49/7,047.50
  6. Step 6: Final answer
    x = 2,780.45

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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.