Home / 1,543.91-2,130.58-835.74

Finding the Fourth Proportional to 1,543.91, 2,130.58 and 835.74

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Solution

The fourth proportional to 1,543.91, 2,130.58 and 835.74 is: 1,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.91 : 2,130.58 = 835.74 : x
  2. Step 2: Convert to fraction form
    1,543.91/2,130.58 = 835.74/x
  3. Step 3: Cross multiply
    1,543.91x = 2,130.58 × 835.74
  4. Step 4: Simplify right side
    1,543.91x = 1,780,600.28
  5. Step 5: Solve for x
    x = 1,780,600.28/1,543.91
  6. Step 6: Final answer
    x = 1,153.31

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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.