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Finding the Fourth Proportional to 1,765, 2,435.76 and 1,145.08

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Solution

The fourth proportional to 1,765, 2,435.76 and 1,145.08 is: 1,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765 : 2,435.76 = 1,145.08 : x
  2. Step 2: Convert to fraction form
    1,765/2,435.76 = 1,145.08/x
  3. Step 3: Cross multiply
    1,765x = 2,435.76 × 1,145.08
  4. Step 4: Simplify right side
    1,765x = 2,789,140.06
  5. Step 5: Solve for x
    x = 2,789,140.06/1,765
  6. Step 6: Final answer
    x = 1,580.25

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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.