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Finding the Fourth Proportional to 9,136.50, 12,607.92 and 5,157.99

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Solution

The fourth proportional to 9,136.50, 12,607.92 and 5,157.99 is: 7,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.50 : 12,607.92 = 5,157.99 : x
  2. Step 2: Convert to fraction form
    9,136.50/12,607.92 = 5,157.99/x
  3. Step 3: Cross multiply
    9,136.50x = 12,607.92 × 5,157.99
  4. Step 4: Simplify right side
    9,136.50x = 65,031,525.28
  5. Step 5: Solve for x
    x = 65,031,525.28/9,136.50
  6. Step 6: Final answer
    x = 7,117.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.