Home / 1,536.32-2,120.16-947.24

Finding the Fourth Proportional to 1,536.32, 2,120.16 and 947.24

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Solution

The fourth proportional to 1,536.32, 2,120.16 and 947.24 is: 1,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.32 : 2,120.16 = 947.24 : x
  2. Step 2: Convert to fraction form
    1,536.32/2,120.16 = 947.24/x
  3. Step 3: Cross multiply
    1,536.32x = 2,120.16 × 947.24
  4. Step 4: Simplify right side
    1,536.32x = 2,008,300.36
  5. Step 5: Solve for x
    x = 2,008,300.36/1,536.32
  6. Step 6: Final answer
    x = 1,307.21

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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.