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Finding the Fourth Proportional to 1,412.96, 1,948.29 and 1,328.22

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Solution

The fourth proportional to 1,412.96, 1,948.29 and 1,328.22 is: 1,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.96 : 1,948.29 = 1,328.22 : x
  2. Step 2: Convert to fraction form
    1,412.96/1,948.29 = 1,328.22/x
  3. Step 3: Cross multiply
    1,412.96x = 1,948.29 × 1,328.22
  4. Step 4: Simplify right side
    1,412.96x = 2,587,757.74
  5. Step 5: Solve for x
    x = 2,587,757.74/1,412.96
  6. Step 6: Final answer
    x = 1,831.45

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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.