Home / 1,728.03-2,384.42-971.67

Finding the Fourth Proportional to 1,728.03, 2,384.42 and 971.67

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Solution

The fourth proportional to 1,728.03, 2,384.42 and 971.67 is: 1,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.03 : 2,384.42 = 971.67 : x
  2. Step 2: Convert to fraction form
    1,728.03/2,384.42 = 971.67/x
  3. Step 3: Cross multiply
    1,728.03x = 2,384.42 × 971.67
  4. Step 4: Simplify right side
    1,728.03x = 2,316,864.52
  5. Step 5: Solve for x
    x = 2,316,864.52/1,728.03
  6. Step 6: Final answer
    x = 1,340.75

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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.