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Finding the Fourth Proportional to 2,957.68, 4,430.28 and 1,784.02

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Solution

The fourth proportional to 2,957.68, 4,430.28 and 1,784.02 is: 2,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.68 : 4,430.28 = 1,784.02 : x
  2. Step 2: Convert to fraction form
    2,957.68/4,430.28 = 1,784.02/x
  3. Step 3: Cross multiply
    2,957.68x = 4,430.28 × 1,784.02
  4. Step 4: Simplify right side
    2,957.68x = 7,903,708.13
  5. Step 5: Solve for x
    x = 7,903,708.13/2,957.68
  6. Step 6: Final answer
    x = 2,672.27

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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.