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Finding the Fourth Proportional to 4,359.76, 6,539.70 and 1,438

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Solution

The fourth proportional to 4,359.76, 6,539.70 and 1,438 is: 2,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.76 : 6,539.70 = 1,438 : x
  2. Step 2: Convert to fraction form
    4,359.76/6,539.70 = 1,438/x
  3. Step 3: Cross multiply
    4,359.76x = 6,539.70 × 1,438
  4. Step 4: Simplify right side
    4,359.76x = 9,404,088.60
  5. Step 5: Solve for x
    x = 9,404,088.60/4,359.76
  6. Step 6: Final answer
    x = 2,157.02

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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.