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Finding the Fourth Proportional to 7,117.32, 9,822.78 and 4,284.84

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Solution

The fourth proportional to 7,117.32, 9,822.78 and 4,284.84 is: 5,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.32 : 9,822.78 = 4,284.84 : x
  2. Step 2: Convert to fraction form
    7,117.32/9,822.78 = 4,284.84/x
  3. Step 3: Cross multiply
    7,117.32x = 9,822.78 × 4,284.84
  4. Step 4: Simplify right side
    7,117.32x = 42,089,040.66
  5. Step 5: Solve for x
    x = 42,089,040.66/7,117.32
  6. Step 6: Final answer
    x = 5,913.61

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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.