Home / 4,207-6,308.10-1,284.28

Finding the Fourth Proportional to 4,207, 6,308.10 and 1,284.28

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Solution

The fourth proportional to 4,207, 6,308.10 and 1,284.28 is: 1,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207 : 6,308.10 = 1,284.28 : x
  2. Step 2: Convert to fraction form
    4,207/6,308.10 = 1,284.28/x
  3. Step 3: Cross multiply
    4,207x = 6,308.10 × 1,284.28
  4. Step 4: Simplify right side
    4,207x = 8,101,366.67
  5. Step 5: Solve for x
    x = 8,101,366.67/4,207
  6. Step 6: Final answer
    x = 1,925.69

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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.