Home / 1,542.02-2,128.34-912.65

Finding the Fourth Proportional to 1,542.02, 2,128.34 and 912.65

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Solution

The fourth proportional to 1,542.02, 2,128.34 and 912.65 is: 1,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.02 : 2,128.34 = 912.65 : x
  2. Step 2: Convert to fraction form
    1,542.02/2,128.34 = 912.65/x
  3. Step 3: Cross multiply
    1,542.02x = 2,128.34 × 912.65
  4. Step 4: Simplify right side
    1,542.02x = 1,942,421.14
  5. Step 5: Solve for x
    x = 1,942,421.14/1,542.02
  6. Step 6: Final answer
    x = 1,259.66

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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.