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Finding the Fourth Proportional to 2,154.69, 2,972.16 and 1,408.68

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Solution

The fourth proportional to 2,154.69, 2,972.16 and 1,408.68 is: 1,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.69 : 2,972.16 = 1,408.68 : x
  2. Step 2: Convert to fraction form
    2,154.69/2,972.16 = 1,408.68/x
  3. Step 3: Cross multiply
    2,154.69x = 2,972.16 × 1,408.68
  4. Step 4: Simplify right side
    2,154.69x = 4,186,822.35
  5. Step 5: Solve for x
    x = 4,186,822.35/2,154.69
  6. Step 6: Final answer
    x = 1,943.12

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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.