Home / 1,583.12-2,178.54-1,460

Finding the Fourth Proportional to 1,583.12, 2,178.54 and 1,460

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Solution

The fourth proportional to 1,583.12, 2,178.54 and 1,460 is: 2,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.12 : 2,178.54 = 1,460 : x
  2. Step 2: Convert to fraction form
    1,583.12/2,178.54 = 1,460/x
  3. Step 3: Cross multiply
    1,583.12x = 2,178.54 × 1,460
  4. Step 4: Simplify right side
    1,583.12x = 3,180,668.40
  5. Step 5: Solve for x
    x = 3,180,668.40/1,583.12
  6. Step 6: Final answer
    x = 2,009.11

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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.