Home / 7,830.53-11,748.23-2,565.58

Finding the Fourth Proportional to 7,830.53, 11,748.23 and 2,565.58

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Solution

The fourth proportional to 7,830.53, 11,748.23 and 2,565.58 is: 3,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.53 : 11,748.23 = 2,565.58 : x
  2. Step 2: Convert to fraction form
    7,830.53/11,748.23 = 2,565.58/x
  3. Step 3: Cross multiply
    7,830.53x = 11,748.23 × 2,565.58
  4. Step 4: Simplify right side
    7,830.53x = 30,141,034.58
  5. Step 5: Solve for x
    x = 30,141,034.58/7,830.53
  6. Step 6: Final answer
    x = 3,849.17

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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.