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Finding the Fourth Proportional to 1,890.72, 2,831.58 and 913.68

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Solution

The fourth proportional to 1,890.72, 2,831.58 and 913.68 is: 1,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.72 : 2,831.58 = 913.68 : x
  2. Step 2: Convert to fraction form
    1,890.72/2,831.58 = 913.68/x
  3. Step 3: Cross multiply
    1,890.72x = 2,831.58 × 913.68
  4. Step 4: Simplify right side
    1,890.72x = 2,587,158.01
  5. Step 5: Solve for x
    x = 2,587,158.01/1,890.72
  6. Step 6: Final answer
    x = 1,368.35

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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.