Home / 2,048.25-2,830.30-1,457.76

Finding the Fourth Proportional to 2,048.25, 2,830.30 and 1,457.76

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Solution

The fourth proportional to 2,048.25, 2,830.30 and 1,457.76 is: 2,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.25 : 2,830.30 = 1,457.76 : x
  2. Step 2: Convert to fraction form
    2,048.25/2,830.30 = 1,457.76/x
  3. Step 3: Cross multiply
    2,048.25x = 2,830.30 × 1,457.76
  4. Step 4: Simplify right side
    2,048.25x = 4,125,905.10
  5. Step 5: Solve for x
    x = 4,125,905.10/2,048.25
  6. Step 6: Final answer
    x = 2,014.35

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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.