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Finding the Fourth Proportional to 1,409.42, 1,945.08 and 912.49

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Solution

The fourth proportional to 1,409.42, 1,945.08 and 912.49 is: 1,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.42 : 1,945.08 = 912.49 : x
  2. Step 2: Convert to fraction form
    1,409.42/1,945.08 = 912.49/x
  3. Step 3: Cross multiply
    1,409.42x = 1,945.08 × 912.49
  4. Step 4: Simplify right side
    1,409.42x = 1,774,861.19
  5. Step 5: Solve for x
    x = 1,774,861.19/1,409.42
  6. Step 6: Final answer
    x = 1,259.28

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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.