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Finding the Fourth Proportional to 2,291.49, 3,438.11 and 975.51

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Solution

The fourth proportional to 2,291.49, 3,438.11 and 975.51 is: 1,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.49 : 3,438.11 = 975.51 : x
  2. Step 2: Convert to fraction form
    2,291.49/3,438.11 = 975.51/x
  3. Step 3: Cross multiply
    2,291.49x = 3,438.11 × 975.51
  4. Step 4: Simplify right side
    2,291.49x = 3,353,913.12
  5. Step 5: Solve for x
    x = 3,353,913.12/2,291.49
  6. Step 6: Final answer
    x = 1,463.64

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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.