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Finding the Fourth Proportional to 7,632.76, 10,530.12 and 4,646.20

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Solution

The fourth proportional to 7,632.76, 10,530.12 and 4,646.20 is: 6,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.76 : 10,530.12 = 4,646.20 : x
  2. Step 2: Convert to fraction form
    7,632.76/10,530.12 = 4,646.20/x
  3. Step 3: Cross multiply
    7,632.76x = 10,530.12 × 4,646.20
  4. Step 4: Simplify right side
    7,632.76x = 48,925,043.54
  5. Step 5: Solve for x
    x = 48,925,043.54/7,632.76
  6. Step 6: Final answer
    x = 6,409.88

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