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Finding the Fourth Proportional to 9,900.81, 14,848.87 and 2,878.95

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Solution

The fourth proportional to 9,900.81, 14,848.87 and 2,878.95 is: 4,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.81 : 14,848.87 = 2,878.95 : x
  2. Step 2: Convert to fraction form
    9,900.81/14,848.87 = 2,878.95/x
  3. Step 3: Cross multiply
    9,900.81x = 14,848.87 × 2,878.95
  4. Step 4: Simplify right side
    9,900.81x = 42,749,154.29
  5. Step 5: Solve for x
    x = 42,749,154.29/9,900.81
  6. Step 6: Final answer
    x = 4,317.74

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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.