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Finding the Fourth Proportional to 3,685.55, 5,528.30 and 912.16

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Solution

The fourth proportional to 3,685.55, 5,528.30 and 912.16 is: 1,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.55 : 5,528.30 = 912.16 : x
  2. Step 2: Convert to fraction form
    3,685.55/5,528.30 = 912.16/x
  3. Step 3: Cross multiply
    3,685.55x = 5,528.30 × 912.16
  4. Step 4: Simplify right side
    3,685.55x = 5,042,701.61
  5. Step 5: Solve for x
    x = 5,042,701.61/3,685.55
  6. Step 6: Final answer
    x = 1,368.24

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1.5x scale

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.