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Finding the Fourth Proportional to 4,384.40, 6,578.40 and 1,612.40

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Solution

The fourth proportional to 4,384.40, 6,578.40 and 1,612.40 is: 2,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.40 : 6,578.40 = 1,612.40 : x
  2. Step 2: Convert to fraction form
    4,384.40/6,578.40 = 1,612.40/x
  3. Step 3: Cross multiply
    4,384.40x = 6,578.40 × 1,612.40
  4. Step 4: Simplify right side
    4,384.40x = 10,607,012.16
  5. Step 5: Solve for x
    x = 10,607,012.16/4,384.40
  6. Step 6: Final answer
    x = 2,419.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.