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Finding the Fourth Proportional to 6,387.57, 9,530.01 and 5,685.84

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Solution

The fourth proportional to 6,387.57, 9,530.01 and 5,685.84 is: 8,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.57 : 9,530.01 = 5,685.84 : x
  2. Step 2: Convert to fraction form
    6,387.57/9,530.01 = 5,685.84/x
  3. Step 3: Cross multiply
    6,387.57x = 9,530.01 × 5,685.84
  4. Step 4: Simplify right side
    6,387.57x = 54,186,112.06
  5. Step 5: Solve for x
    x = 54,186,112.06/6,387.57
  6. Step 6: Final answer
    x = 8,483.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.