Home / 1,552.40-2,142.31-853.77

Finding the Fourth Proportional to 1,552.40, 2,142.31 and 853.77

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Solution

The fourth proportional to 1,552.40, 2,142.31 and 853.77 is: 1,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.40 : 2,142.31 = 853.77 : x
  2. Step 2: Convert to fraction form
    1,552.40/2,142.31 = 853.77/x
  3. Step 3: Cross multiply
    1,552.40x = 2,142.31 × 853.77
  4. Step 4: Simplify right side
    1,552.40x = 1,829,040.01
  5. Step 5: Solve for x
    x = 1,829,040.01/1,552.40
  6. Step 6: Final answer
    x = 1,178.20

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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.