Home / 1,530.24-2,112.12-971.04

Finding the Fourth Proportional to 1,530.24, 2,112.12 and 971.04

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Solution

The fourth proportional to 1,530.24, 2,112.12 and 971.04 is: 1,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.24 : 2,112.12 = 971.04 : x
  2. Step 2: Convert to fraction form
    1,530.24/2,112.12 = 971.04/x
  3. Step 3: Cross multiply
    1,530.24x = 2,112.12 × 971.04
  4. Step 4: Simplify right side
    1,530.24x = 2,050,953.00
  5. Step 5: Solve for x
    x = 2,050,953.00/1,530.24
  6. Step 6: Final answer
    x = 1,340.28

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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.