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Finding the Fourth Proportional to 2,309, 3,186.46 and 1,261.10

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Solution

The fourth proportional to 2,309, 3,186.46 and 1,261.10 is: 1,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309 : 3,186.46 = 1,261.10 : x
  2. Step 2: Convert to fraction form
    2,309/3,186.46 = 1,261.10/x
  3. Step 3: Cross multiply
    2,309x = 3,186.46 × 1,261.10
  4. Step 4: Simplify right side
    2,309x = 4,018,444.71
  5. Step 5: Solve for x
    x = 4,018,444.71/2,309
  6. Step 6: Final answer
    x = 1,740.34

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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.