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Finding the Fourth Proportional to 4,690.70, 7,037.08 and 1,570.80

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Solution

The fourth proportional to 4,690.70, 7,037.08 and 1,570.80 is: 2,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.70 : 7,037.08 = 1,570.80 : x
  2. Step 2: Convert to fraction form
    4,690.70/7,037.08 = 1,570.80/x
  3. Step 3: Cross multiply
    4,690.70x = 7,037.08 × 1,570.80
  4. Step 4: Simplify right side
    4,690.70x = 11,053,845.26
  5. Step 5: Solve for x
    x = 11,053,845.26/4,690.70
  6. Step 6: Final answer
    x = 2,356.54

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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.