Home / 1,534.23-2,116.87-904.78

Finding the Fourth Proportional to 1,534.23, 2,116.87 and 904.78

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Solution

The fourth proportional to 1,534.23, 2,116.87 and 904.78 is: 1,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.23 : 2,116.87 = 904.78 : x
  2. Step 2: Convert to fraction form
    1,534.23/2,116.87 = 904.78/x
  3. Step 3: Cross multiply
    1,534.23x = 2,116.87 × 904.78
  4. Step 4: Simplify right side
    1,534.23x = 1,915,294.08
  5. Step 5: Solve for x
    x = 1,915,294.08/1,534.23
  6. Step 6: Final answer
    x = 1,248.37

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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.