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Finding the Fourth Proportional to 2,753.68, 4,130.92 and 904.16

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Solution

The fourth proportional to 2,753.68, 4,130.92 and 904.16 is: 1,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.68 : 4,130.92 = 904.16 : x
  2. Step 2: Convert to fraction form
    2,753.68/4,130.92 = 904.16/x
  3. Step 3: Cross multiply
    2,753.68x = 4,130.92 × 904.16
  4. Step 4: Simplify right side
    2,753.68x = 3,735,012.63
  5. Step 5: Solve for x
    x = 3,735,012.63/2,753.68
  6. Step 6: Final answer
    x = 1,356.37

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1.5x scale

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.