Home / 1,678.12-2,315.40-1,429

Finding the Fourth Proportional to 1,678.12, 2,315.40 and 1,429

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Solution

The fourth proportional to 1,678.12, 2,315.40 and 1,429 is: 1,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.12 : 2,315.40 = 1,429 : x
  2. Step 2: Convert to fraction form
    1,678.12/2,315.40 = 1,429/x
  3. Step 3: Cross multiply
    1,678.12x = 2,315.40 × 1,429
  4. Step 4: Simplify right side
    1,678.12x = 3,308,706.60
  5. Step 5: Solve for x
    x = 3,308,706.60/1,678.12
  6. Step 6: Final answer
    x = 1,971.67

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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.