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Finding the Fourth Proportional to 1,609.95, 2,221.63 and 971.89

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Solution

The fourth proportional to 1,609.95, 2,221.63 and 971.89 is: 1,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.95 : 2,221.63 = 971.89 : x
  2. Step 2: Convert to fraction form
    1,609.95/2,221.63 = 971.89/x
  3. Step 3: Cross multiply
    1,609.95x = 2,221.63 × 971.89
  4. Step 4: Simplify right side
    1,609.95x = 2,159,168.87
  5. Step 5: Solve for x
    x = 2,159,168.87/1,609.95
  6. Step 6: Final answer
    x = 1,341.14

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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.