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Finding the Fourth Proportional to 9,020, 12,447.60 and 5,482.56

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Solution

The fourth proportional to 9,020, 12,447.60 and 5,482.56 is: 7,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020 : 12,447.60 = 5,482.56 : x
  2. Step 2: Convert to fraction form
    9,020/12,447.60 = 5,482.56/x
  3. Step 3: Cross multiply
    9,020x = 12,447.60 × 5,482.56
  4. Step 4: Simplify right side
    9,020x = 68,244,713.86
  5. Step 5: Solve for x
    x = 68,244,713.86/9,020
  6. Step 6: Final answer
    x = 7,565.93

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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.