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Finding the Fourth Proportional to 5,478.93, 7,564.46 and 4,888.44

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Solution

The fourth proportional to 5,478.93, 7,564.46 and 4,888.44 is: 6,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.93 : 7,564.46 = 4,888.44 : x
  2. Step 2: Convert to fraction form
    5,478.93/7,564.46 = 4,888.44/x
  3. Step 3: Cross multiply
    5,478.93x = 7,564.46 × 4,888.44
  4. Step 4: Simplify right side
    5,478.93x = 36,978,384.40
  5. Step 5: Solve for x
    x = 36,978,384.40/5,478.93
  6. Step 6: Final answer
    x = 6,749.20

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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.