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Finding the Fourth Proportional to 4,216, 6,326.88 and 1,480

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Solution

The fourth proportional to 4,216, 6,326.88 and 1,480 is: 2,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216 : 6,326.88 = 1,480 : x
  2. Step 2: Convert to fraction form
    4,216/6,326.88 = 1,480/x
  3. Step 3: Cross multiply
    4,216x = 6,326.88 × 1,480
  4. Step 4: Simplify right side
    4,216x = 9,363,782.40
  5. Step 5: Solve for x
    x = 9,363,782.40/4,216
  6. Step 6: Final answer
    x = 2,221.01

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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.