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Finding the Fourth Proportional to 2,569.32, 3,856.68 and 1,840.32

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Solution

The fourth proportional to 2,569.32, 3,856.68 and 1,840.32 is: 2,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.32 : 3,856.68 = 1,840.32 : x
  2. Step 2: Convert to fraction form
    2,569.32/3,856.68 = 1,840.32/x
  3. Step 3: Cross multiply
    2,569.32x = 3,856.68 × 1,840.32
  4. Step 4: Simplify right side
    2,569.32x = 7,097,525.34
  5. Step 5: Solve for x
    x = 7,097,525.34/2,569.32
  6. Step 6: Final answer
    x = 2,762.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.