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Finding the Fourth Proportional to 4,428, 6,646.32 and 2,380.32

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Solution

The fourth proportional to 4,428, 6,646.32 and 2,380.32 is: 3,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428 : 6,646.32 = 2,380.32 : x
  2. Step 2: Convert to fraction form
    4,428/6,646.32 = 2,380.32/x
  3. Step 3: Cross multiply
    4,428x = 6,646.32 × 2,380.32
  4. Step 4: Simplify right side
    4,428x = 15,820,368.42
  5. Step 5: Solve for x
    x = 15,820,368.42/4,428
  6. Step 6: Final answer
    x = 3,572.80

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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.