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Finding the Fourth Proportional to 1,800.16, 2,484.80 and 1,277.68

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Solution

The fourth proportional to 1,800.16, 2,484.80 and 1,277.68 is: 1,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.16 : 2,484.80 = 1,277.68 : x
  2. Step 2: Convert to fraction form
    1,800.16/2,484.80 = 1,277.68/x
  3. Step 3: Cross multiply
    1,800.16x = 2,484.80 × 1,277.68
  4. Step 4: Simplify right side
    1,800.16x = 3,174,779.26
  5. Step 5: Solve for x
    x = 3,174,779.26/1,800.16
  6. Step 6: Final answer
    x = 1,763.61

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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.