Home / 1,600.36-2,209.14-971.56

Finding the Fourth Proportional to 1,600.36, 2,209.14 and 971.56

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Solution

The fourth proportional to 1,600.36, 2,209.14 and 971.56 is: 1,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.36 : 2,209.14 = 971.56 : x
  2. Step 2: Convert to fraction form
    1,600.36/2,209.14 = 971.56/x
  3. Step 3: Cross multiply
    1,600.36x = 2,209.14 × 971.56
  4. Step 4: Simplify right side
    1,600.36x = 2,146,312.06
  5. Step 5: Solve for x
    x = 2,146,312.06/1,600.36
  6. Step 6: Final answer
    x = 1,341.14

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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.