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Finding the Fourth Proportional to 5,784.64, 7,988.16 and 3,685.12

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Solution

The fourth proportional to 5,784.64, 7,988.16 and 3,685.12 is: 5,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.64 : 7,988.16 = 3,685.12 : x
  2. Step 2: Convert to fraction form
    5,784.64/7,988.16 = 3,685.12/x
  3. Step 3: Cross multiply
    5,784.64x = 7,988.16 × 3,685.12
  4. Step 4: Simplify right side
    5,784.64x = 29,437,328.18
  5. Step 5: Solve for x
    x = 29,437,328.18/5,784.64
  6. Step 6: Final answer
    x = 5,088.88

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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.