Home / 1,520.28-2,276.16-971.08

Finding the Fourth Proportional to 1,520.28, 2,276.16 and 971.08

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Solution

The fourth proportional to 1,520.28, 2,276.16 and 971.08 is: 1,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.28 : 2,276.16 = 971.08 : x
  2. Step 2: Convert to fraction form
    1,520.28/2,276.16 = 971.08/x
  3. Step 3: Cross multiply
    1,520.28x = 2,276.16 × 971.08
  4. Step 4: Simplify right side
    1,520.28x = 2,210,333.45
  5. Step 5: Solve for x
    x = 2,210,333.45/1,520.28
  6. Step 6: Final answer
    x = 1,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.