Home / 1,516.59-2,277.45-969.84

Finding the Fourth Proportional to 1,516.59, 2,277.45 and 969.84

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Solution

The fourth proportional to 1,516.59, 2,277.45 and 969.84 is: 1,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.59 : 2,277.45 = 969.84 : x
  2. Step 2: Convert to fraction form
    1,516.59/2,277.45 = 969.84/x
  3. Step 3: Cross multiply
    1,516.59x = 2,277.45 × 969.84
  4. Step 4: Simplify right side
    1,516.59x = 2,208,762.11
  5. Step 5: Solve for x
    x = 2,208,762.11/1,516.59
  6. Step 6: Final answer
    x = 1,456.40

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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.