Home / 1,518.17-2,280.90-971.42

Finding the Fourth Proportional to 1,518.17, 2,280.90 and 971.42

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Solution

The fourth proportional to 1,518.17, 2,280.90 and 971.42 is: 1,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.17 : 2,280.90 = 971.42 : x
  2. Step 2: Convert to fraction form
    1,518.17/2,280.90 = 971.42/x
  3. Step 3: Cross multiply
    1,518.17x = 2,280.90 × 971.42
  4. Step 4: Simplify right side
    1,518.17x = 2,215,711.88
  5. Step 5: Solve for x
    x = 2,215,711.88/1,518.17
  6. Step 6: Final answer
    x = 1,459.46

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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.