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Finding the Fourth Proportional to 2,166.96, 2,988.96 and 1,421.76

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Solution

The fourth proportional to 2,166.96, 2,988.96 and 1,421.76 is: 1,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.96 : 2,988.96 = 1,421.76 : x
  2. Step 2: Convert to fraction form
    2,166.96/2,988.96 = 1,421.76/x
  3. Step 3: Cross multiply
    2,166.96x = 2,988.96 × 1,421.76
  4. Step 4: Simplify right side
    2,166.96x = 4,249,583.77
  5. Step 5: Solve for x
    x = 4,249,583.77/2,166.96
  6. Step 6: Final answer
    x = 1,961.08

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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.