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Finding the Fourth Proportional to 1,572.95, 2,170.73 and 874.32

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Solution

The fourth proportional to 1,572.95, 2,170.73 and 874.32 is: 1,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.95 : 2,170.73 = 874.32 : x
  2. Step 2: Convert to fraction form
    1,572.95/2,170.73 = 874.32/x
  3. Step 3: Cross multiply
    1,572.95x = 2,170.73 × 874.32
  4. Step 4: Simplify right side
    1,572.95x = 1,897,908.28
  5. Step 5: Solve for x
    x = 1,897,908.28/1,572.95
  6. Step 6: Final answer
    x = 1,206.60

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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.