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Finding the Fourth Proportional to 3,130.48, 4,694.10 and 1,669.24

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Solution

The fourth proportional to 3,130.48, 4,694.10 and 1,669.24 is: 2,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.48 : 4,694.10 = 1,669.24 : x
  2. Step 2: Convert to fraction form
    3,130.48/4,694.10 = 1,669.24/x
  3. Step 3: Cross multiply
    3,130.48x = 4,694.10 × 1,669.24
  4. Step 4: Simplify right side
    3,130.48x = 7,835,579.48
  5. Step 5: Solve for x
    x = 7,835,579.48/3,130.48
  6. Step 6: Final answer
    x = 2,503.00

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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.