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Finding the Fourth Proportional to 2,320.76, 3,477.90 and 1,539.47

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Solution

The fourth proportional to 2,320.76, 3,477.90 and 1,539.47 is: 2,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.76 : 3,477.90 = 1,539.47 : x
  2. Step 2: Convert to fraction form
    2,320.76/3,477.90 = 1,539.47/x
  3. Step 3: Cross multiply
    2,320.76x = 3,477.90 × 1,539.47
  4. Step 4: Simplify right side
    2,320.76x = 5,354,122.71
  5. Step 5: Solve for x
    x = 5,354,122.71/2,320.76
  6. Step 6: Final answer
    x = 2,307.06

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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.