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Finding the Fourth Proportional to 6,128.64, 9,197.28 and 3,528

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Solution

The fourth proportional to 6,128.64, 9,197.28 and 3,528 is: 5,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.64 : 9,197.28 = 3,528 : x
  2. Step 2: Convert to fraction form
    6,128.64/9,197.28 = 3,528/x
  3. Step 3: Cross multiply
    6,128.64x = 9,197.28 × 3,528
  4. Step 4: Simplify right side
    6,128.64x = 32,448,003.84
  5. Step 5: Solve for x
    x = 32,448,003.84/6,128.64
  6. Step 6: Final answer
    x = 5,294.49

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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.