Home / 1,534.10-2,116.98-835.46

Finding the Fourth Proportional to 1,534.10, 2,116.98 and 835.46

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Solution

The fourth proportional to 1,534.10, 2,116.98 and 835.46 is: 1,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.10 : 2,116.98 = 835.46 : x
  2. Step 2: Convert to fraction form
    1,534.10/2,116.98 = 835.46/x
  3. Step 3: Cross multiply
    1,534.10x = 2,116.98 × 835.46
  4. Step 4: Simplify right side
    1,534.10x = 1,768,652.11
  5. Step 5: Solve for x
    x = 1,768,652.11/1,534.10
  6. Step 6: Final answer
    x = 1,152.89

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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.