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Finding the Fourth Proportional to 2,364.84, 3,264.79 and 1,420.87

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Solution

The fourth proportional to 2,364.84, 3,264.79 and 1,420.87 is: 1,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.84 : 3,264.79 = 1,420.87 : x
  2. Step 2: Convert to fraction form
    2,364.84/3,264.79 = 1,420.87/x
  3. Step 3: Cross multiply
    2,364.84x = 3,264.79 × 1,420.87
  4. Step 4: Simplify right side
    2,364.84x = 4,638,831.56
  5. Step 5: Solve for x
    x = 4,638,831.56/2,364.84
  6. Step 6: Final answer
    x = 1,961.59

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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.