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Finding the Fourth Proportional to 1,543.83, 2,130.49 and 835.67

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Solution

The fourth proportional to 1,543.83, 2,130.49 and 835.67 is: 1,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.83 : 2,130.49 = 835.67 : x
  2. Step 2: Convert to fraction form
    1,543.83/2,130.49 = 835.67/x
  3. Step 3: Cross multiply
    1,543.83x = 2,130.49 × 835.67
  4. Step 4: Simplify right side
    1,543.83x = 1,780,386.58
  5. Step 5: Solve for x
    x = 1,780,386.58/1,543.83
  6. Step 6: Final answer
    x = 1,153.23

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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.