Home / 1,561.44-2,155.22-971.63

Finding the Fourth Proportional to 1,561.44, 2,155.22 and 971.63

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Solution

The fourth proportional to 1,561.44, 2,155.22 and 971.63 is: 1,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.44 : 2,155.22 = 971.63 : x
  2. Step 2: Convert to fraction form
    1,561.44/2,155.22 = 971.63/x
  3. Step 3: Cross multiply
    1,561.44x = 2,155.22 × 971.63
  4. Step 4: Simplify right side
    1,561.44x = 2,094,060.77
  5. Step 5: Solve for x
    x = 2,094,060.77/1,561.44
  6. Step 6: Final answer
    x = 1,341.11

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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.