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Finding the Fourth Proportional to 1,570.10, 2,203 and 1,570.10

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Solution

The fourth proportional to 1,570.10, 2,203 and 1,570.10 is: 2,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.10 : 2,203 = 1,570.10 : x
  2. Step 2: Convert to fraction form
    1,570.10/2,203 = 1,570.10/x
  3. Step 3: Cross multiply
    1,570.10x = 2,203 × 1,570.10
  4. Step 4: Simplify right side
    1,570.10x = 3,458,930.30
  5. Step 5: Solve for x
    x = 3,458,930.30/1,570.10
  6. Step 6: Final answer
    x = 2,203

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.