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Finding the Fourth Proportional to 1,521.93, 2,100.45 and 858.81

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Solution

The fourth proportional to 1,521.93, 2,100.45 and 858.81 is: 1,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.93 : 2,100.45 = 858.81 : x
  2. Step 2: Convert to fraction form
    1,521.93/2,100.45 = 858.81/x
  3. Step 3: Cross multiply
    1,521.93x = 2,100.45 × 858.81
  4. Step 4: Simplify right side
    1,521.93x = 1,803,887.46
  5. Step 5: Solve for x
    x = 1,803,887.46/1,521.93
  6. Step 6: Final answer
    x = 1,185.26

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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.