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Finding the Fourth Proportional to 10,387.84, 15,579.40 and 2,990.64

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Solution

The fourth proportional to 10,387.84, 15,579.40 and 2,990.64 is: 4,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.84 : 15,579.40 = 2,990.64 : x
  2. Step 2: Convert to fraction form
    10,387.84/15,579.40 = 2,990.64/x
  3. Step 3: Cross multiply
    10,387.84x = 15,579.40 × 2,990.64
  4. Step 4: Simplify right side
    10,387.84x = 46,592,376.82
  5. Step 5: Solve for x
    x = 46,592,376.82/10,387.84
  6. Step 6: Final answer
    x = 4,485.28

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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.