Home / 1,688.16-2,325.87-1,406.82

Finding the Fourth Proportional to 1,688.16, 2,325.87 and 1,406.82

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Solution

The fourth proportional to 1,688.16, 2,325.87 and 1,406.82 is: 1,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.16 : 2,325.87 = 1,406.82 : x
  2. Step 2: Convert to fraction form
    1,688.16/2,325.87 = 1,406.82/x
  3. Step 3: Cross multiply
    1,688.16x = 2,325.87 × 1,406.82
  4. Step 4: Simplify right side
    1,688.16x = 3,272,080.43
  5. Step 5: Solve for x
    x = 3,272,080.43/1,688.16
  6. Step 6: Final answer
    x = 1,938.25

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1.5x scale

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.