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Finding the Fourth Proportional to 1,542.77, 2,128.90 and 953.31

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Solution

The fourth proportional to 1,542.77, 2,128.90 and 953.31 is: 1,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.77 : 2,128.90 = 953.31 : x
  2. Step 2: Convert to fraction form
    1,542.77/2,128.90 = 953.31/x
  3. Step 3: Cross multiply
    1,542.77x = 2,128.90 × 953.31
  4. Step 4: Simplify right side
    1,542.77x = 2,029,501.66
  5. Step 5: Solve for x
    x = 2,029,501.66/1,542.77
  6. Step 6: Final answer
    x = 1,315.49

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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.