Home / 9,829.12-14,741.88-2,902

Finding the Fourth Proportional to 9,829.12, 14,741.88 and 2,902

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Solution

The fourth proportional to 9,829.12, 14,741.88 and 2,902 is: 4,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.12 : 14,741.88 = 2,902 : x
  2. Step 2: Convert to fraction form
    9,829.12/14,741.88 = 2,902/x
  3. Step 3: Cross multiply
    9,829.12x = 14,741.88 × 2,902
  4. Step 4: Simplify right side
    9,829.12x = 42,780,935.76
  5. Step 5: Solve for x
    x = 42,780,935.76/9,829.12
  6. Step 6: Final answer
    x = 4,352.47

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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.