Home / 1,303.90-1,954.14-1,138.98

Finding the Fourth Proportional to 1,303.90, 1,954.14 and 1,138.98

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Solution

The fourth proportional to 1,303.90, 1,954.14 and 1,138.98 is: 1,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.90 : 1,954.14 = 1,138.98 : x
  2. Step 2: Convert to fraction form
    1,303.90/1,954.14 = 1,138.98/x
  3. Step 3: Cross multiply
    1,303.90x = 1,954.14 × 1,138.98
  4. Step 4: Simplify right side
    1,303.90x = 2,225,726.38
  5. Step 5: Solve for x
    x = 2,225,726.38/1,303.90
  6. Step 6: Final answer
    x = 1,706.98

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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.