Home / 1,534.84-2,291.13-1,420.64

Finding the Fourth Proportional to 1,534.84, 2,291.13 and 1,420.64

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Solution

The fourth proportional to 1,534.84, 2,291.13 and 1,420.64 is: 2,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.84 : 2,291.13 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    1,534.84/2,291.13 = 1,420.64/x
  3. Step 3: Cross multiply
    1,534.84x = 2,291.13 × 1,420.64
  4. Step 4: Simplify right side
    1,534.84x = 3,254,870.92
  5. Step 5: Solve for x
    x = 3,254,870.92/1,534.84
  6. Step 6: Final answer
    x = 2,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.