Home / 1,607.40-2,411.10-1,284.82

Finding the Fourth Proportional to 1,607.40, 2,411.10 and 1,284.82

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Solution

The fourth proportional to 1,607.40, 2,411.10 and 1,284.82 is: 1,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.40 : 2,411.10 = 1,284.82 : x
  2. Step 2: Convert to fraction form
    1,607.40/2,411.10 = 1,284.82/x
  3. Step 3: Cross multiply
    1,607.40x = 2,411.10 × 1,284.82
  4. Step 4: Simplify right side
    1,607.40x = 3,097,823.47
  5. Step 5: Solve for x
    x = 3,097,823.47/1,607.40
  6. Step 6: Final answer
    x = 1,927.23

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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.