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Finding the Fourth Proportional to 2,128.64, 2,931.64 and 1,833.80

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Solution

The fourth proportional to 2,128.64, 2,931.64 and 1,833.80 is: 2,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.64 : 2,931.64 = 1,833.80 : x
  2. Step 2: Convert to fraction form
    2,128.64/2,931.64 = 1,833.80/x
  3. Step 3: Cross multiply
    2,128.64x = 2,931.64 × 1,833.80
  4. Step 4: Simplify right side
    2,128.64x = 5,376,041.43
  5. Step 5: Solve for x
    x = 5,376,041.43/2,128.64
  6. Step 6: Final answer
    x = 2,525.58

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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.