Home / 1,124.16-1,688-1,069.28

Finding the Fourth Proportional to 1,124.16, 1,688 and 1,069.28

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Solution

The fourth proportional to 1,124.16, 1,688 and 1,069.28 is: 1,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.16 : 1,688 = 1,069.28 : x
  2. Step 2: Convert to fraction form
    1,124.16/1,688 = 1,069.28/x
  3. Step 3: Cross multiply
    1,124.16x = 1,688 × 1,069.28
  4. Step 4: Simplify right side
    1,124.16x = 1,804,944.64
  5. Step 5: Solve for x
    x = 1,804,944.64/1,124.16
  6. Step 6: Final answer
    x = 1,605.59

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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.