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Finding the Fourth Proportional to 1,341.91, 1,852.10 and 875.35

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Solution

The fourth proportional to 1,341.91, 1,852.10 and 875.35 is: 1,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.91 : 1,852.10 = 875.35 : x
  2. Step 2: Convert to fraction form
    1,341.91/1,852.10 = 875.35/x
  3. Step 3: Cross multiply
    1,341.91x = 1,852.10 × 875.35
  4. Step 4: Simplify right side
    1,341.91x = 1,621,235.74
  5. Step 5: Solve for x
    x = 1,621,235.74/1,341.91
  6. Step 6: Final answer
    x = 1,208.16

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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.