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Finding the Fourth Proportional to 1,312.55, 1,965.54 and 941.09

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Solution

The fourth proportional to 1,312.55, 1,965.54 and 941.09 is: 1,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.55 : 1,965.54 = 941.09 : x
  2. Step 2: Convert to fraction form
    1,312.55/1,965.54 = 941.09/x
  3. Step 3: Cross multiply
    1,312.55x = 1,965.54 × 941.09
  4. Step 4: Simplify right side
    1,312.55x = 1,849,750.04
  5. Step 5: Solve for x
    x = 1,849,750.04/1,312.55
  6. Step 6: Final answer
    x = 1,409.28

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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.