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Finding the Fourth Proportional to 4,685.64, 7,018.22 and 3,637.50

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Solution

The fourth proportional to 4,685.64, 7,018.22 and 3,637.50 is: 5,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.64 : 7,018.22 = 3,637.50 : x
  2. Step 2: Convert to fraction form
    4,685.64/7,018.22 = 3,637.50/x
  3. Step 3: Cross multiply
    4,685.64x = 7,018.22 × 3,637.50
  4. Step 4: Simplify right side
    4,685.64x = 25,528,775.25
  5. Step 5: Solve for x
    x = 25,528,775.25/4,685.64
  6. Step 6: Final answer
    x = 5,448.30

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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.