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Finding the Fourth Proportional to 12,777.50, 19,166.34 and 4,457.50

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Solution

The fourth proportional to 12,777.50, 19,166.34 and 4,457.50 is: 6,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.50 : 19,166.34 = 4,457.50 : x
  2. Step 2: Convert to fraction form
    12,777.50/19,166.34 = 4,457.50/x
  3. Step 3: Cross multiply
    12,777.50x = 19,166.34 × 4,457.50
  4. Step 4: Simplify right side
    12,777.50x = 85,433,960.55
  5. Step 5: Solve for x
    x = 85,433,960.55/12,777.50
  6. Step 6: Final answer
    x = 6,686.28

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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.