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Finding the Fourth Proportional to 3,980.54, 5,495.63 and 2,564.93

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Solution

The fourth proportional to 3,980.54, 5,495.63 and 2,564.93 is: 3,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.54 : 5,495.63 = 2,564.93 : x
  2. Step 2: Convert to fraction form
    3,980.54/5,495.63 = 2,564.93/x
  3. Step 3: Cross multiply
    3,980.54x = 5,495.63 × 2,564.93
  4. Step 4: Simplify right side
    3,980.54x = 14,095,865.95
  5. Step 5: Solve for x
    x = 14,095,865.95/3,980.54
  6. Step 6: Final answer
    x = 3,541.20

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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.