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Finding the Fourth Proportional to 1,359.42, 1,877.49 and 1,341.21

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Solution

The fourth proportional to 1,359.42, 1,877.49 and 1,341.21 is: 1,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.42 : 1,877.49 = 1,341.21 : x
  2. Step 2: Convert to fraction form
    1,359.42/1,877.49 = 1,341.21/x
  3. Step 3: Cross multiply
    1,359.42x = 1,877.49 × 1,341.21
  4. Step 4: Simplify right side
    1,359.42x = 2,518,108.36
  5. Step 5: Solve for x
    x = 2,518,108.36/1,359.42
  6. Step 6: Final answer
    x = 1,852.34

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Double scale
Find fourth proportional to 1,360.42, 1,878.87 and 1,342.21
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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.