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Finding the Fourth Proportional to 9,871, 14,813.78 and 4,676.88

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Solution

The fourth proportional to 9,871, 14,813.78 and 4,676.88 is: 7,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871 : 14,813.78 = 4,676.88 : x
  2. Step 2: Convert to fraction form
    9,871/14,813.78 = 4,676.88/x
  3. Step 3: Cross multiply
    9,871x = 14,813.78 × 4,676.88
  4. Step 4: Simplify right side
    9,871x = 69,282,271.41
  5. Step 5: Solve for x
    x = 69,282,271.41/9,871
  6. Step 6: Final answer
    x = 7,018.77

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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.