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Finding the Fourth Proportional to 12,700.53, 17,527.36 and 7,664.67

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Solution

The fourth proportional to 12,700.53, 17,527.36 and 7,664.67 is: 10,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.53 : 17,527.36 = 7,664.67 : x
  2. Step 2: Convert to fraction form
    12,700.53/17,527.36 = 7,664.67/x
  3. Step 3: Cross multiply
    12,700.53x = 17,527.36 × 7,664.67
  4. Step 4: Simplify right side
    12,700.53x = 134,341,430.37
  5. Step 5: Solve for x
    x = 134,341,430.37/12,700.53
  6. Step 6: Final answer
    x = 10,577.62

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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.