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Finding the Fourth Proportional to 5,655, 7,798.80 and 3,663.60

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Solution

The fourth proportional to 5,655, 7,798.80 and 3,663.60 is: 5,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655 : 7,798.80 = 3,663.60 : x
  2. Step 2: Convert to fraction form
    5,655/7,798.80 = 3,663.60/x
  3. Step 3: Cross multiply
    5,655x = 7,798.80 × 3,663.60
  4. Step 4: Simplify right side
    5,655x = 28,571,683.68
  5. Step 5: Solve for x
    x = 28,571,683.68/5,655
  6. Step 6: Final answer
    x = 5,052.46

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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.