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Finding the Fourth Proportional to 12,700.40, 17,527.19 and 7,664.54

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Solution

The fourth proportional to 12,700.40, 17,527.19 and 7,664.54 is: 10,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.40 : 17,527.19 = 7,664.54 : x
  2. Step 2: Convert to fraction form
    12,700.40/17,527.19 = 7,664.54/x
  3. Step 3: Cross multiply
    12,700.40x = 17,527.19 × 7,664.54
  4. Step 4: Simplify right side
    12,700.40x = 134,337,854.34
  5. Step 5: Solve for x
    x = 134,337,854.34/12,700.40
  6. Step 6: Final answer
    x = 10,577.45

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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.