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Finding the Fourth Proportional to 1,595.61, 2,200.73 and 1,036.22

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Solution

The fourth proportional to 1,595.61, 2,200.73 and 1,036.22 is: 1,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.61 : 2,200.73 = 1,036.22 : x
  2. Step 2: Convert to fraction form
    1,595.61/2,200.73 = 1,036.22/x
  3. Step 3: Cross multiply
    1,595.61x = 2,200.73 × 1,036.22
  4. Step 4: Simplify right side
    1,595.61x = 2,280,424.26
  5. Step 5: Solve for x
    x = 2,280,424.26/1,595.61
  6. Step 6: Final answer
    x = 1,429.19

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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.