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Finding the Fourth Proportional to 7,762.40, 11,643.80 and 2,835.71

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Solution

The fourth proportional to 7,762.40, 11,643.80 and 2,835.71 is: 4,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.40 : 11,643.80 = 2,835.71 : x
  2. Step 2: Convert to fraction form
    7,762.40/11,643.80 = 2,835.71/x
  3. Step 3: Cross multiply
    7,762.40x = 11,643.80 × 2,835.71
  4. Step 4: Simplify right side
    7,762.40x = 33,018,440.10
  5. Step 5: Solve for x
    x = 33,018,440.10/7,762.40
  6. Step 6: Final answer
    x = 4,253.64

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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.