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Finding the Fourth Proportional to 7,005.89, 9,648.44 and 6,852.80

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Solution

The fourth proportional to 7,005.89, 9,648.44 and 6,852.80 is: 9,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.89 : 9,648.44 = 6,852.80 : x
  2. Step 2: Convert to fraction form
    7,005.89/9,648.44 = 6,852.80/x
  3. Step 3: Cross multiply
    7,005.89x = 9,648.44 × 6,852.80
  4. Step 4: Simplify right side
    7,005.89x = 66,118,772.82
  5. Step 5: Solve for x
    x = 66,118,772.82/7,005.89
  6. Step 6: Final answer
    x = 9,437.60

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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.