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Finding the Fourth Proportional to 1,341.63, 1,851.87 and 923.34

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Solution

The fourth proportional to 1,341.63, 1,851.87 and 923.34 is: 1,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.63 : 1,851.87 = 923.34 : x
  2. Step 2: Convert to fraction form
    1,341.63/1,851.87 = 923.34/x
  3. Step 3: Cross multiply
    1,341.63x = 1,851.87 × 923.34
  4. Step 4: Simplify right side
    1,341.63x = 1,709,905.65
  5. Step 5: Solve for x
    x = 1,709,905.65/1,341.63
  6. Step 6: Final answer
    x = 1,274.50

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Double scale
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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.