Home / 1,583.16-2,184.78-875.00

Finding the Fourth Proportional to 1,583.16, 2,184.78 and 875.00

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Solution

The fourth proportional to 1,583.16, 2,184.78 and 875.00 is: 1,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.16 : 2,184.78 = 875.00 : x
  2. Step 2: Convert to fraction form
    1,583.16/2,184.78 = 875.00/x
  3. Step 3: Cross multiply
    1,583.16x = 2,184.78 × 875.00
  4. Step 4: Simplify right side
    1,583.16x = 1,911,687.96
  5. Step 5: Solve for x
    x = 1,911,687.96/1,583.16
  6. Step 6: Final answer
    x = 1,207.51

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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.