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Finding the Fourth Proportional to 5,158.68, 7,737.16 and 1,459.99

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Solution

The fourth proportional to 5,158.68, 7,737.16 and 1,459.99 is: 2,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.68 : 7,737.16 = 1,459.99 : x
  2. Step 2: Convert to fraction form
    5,158.68/7,737.16 = 1,459.99/x
  3. Step 3: Cross multiply
    5,158.68x = 7,737.16 × 1,459.99
  4. Step 4: Simplify right side
    5,158.68x = 11,296,153.24
  5. Step 5: Solve for x
    x = 11,296,153.24/5,158.68
  6. Step 6: Final answer
    x = 2,189.74

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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.