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Finding the Fourth Proportional to 5,100.50, 7,652.10 and 1,637.84

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Solution

The fourth proportional to 5,100.50, 7,652.10 and 1,637.84 is: 2,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.50 : 7,652.10 = 1,637.84 : x
  2. Step 2: Convert to fraction form
    5,100.50/7,652.10 = 1,637.84/x
  3. Step 3: Cross multiply
    5,100.50x = 7,652.10 × 1,637.84
  4. Step 4: Simplify right side
    5,100.50x = 12,532,915.46
  5. Step 5: Solve for x
    x = 12,532,915.46/5,100.50
  6. Step 6: Final answer
    x = 2,457.19

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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.