Home / 6,468-9,703.68-4,712.16

Finding the Fourth Proportional to 6,468, 9,703.68 and 4,712.16

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Solution

The fourth proportional to 6,468, 9,703.68 and 4,712.16 is: 7,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468 : 9,703.68 = 4,712.16 : x
  2. Step 2: Convert to fraction form
    6,468/9,703.68 = 4,712.16/x
  3. Step 3: Cross multiply
    6,468x = 9,703.68 × 4,712.16
  4. Step 4: Simplify right side
    6,468x = 45,725,292.75
  5. Step 5: Solve for x
    x = 45,725,292.75/6,468
  6. Step 6: Final answer
    x = 7,069.46

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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.