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Finding the Fourth Proportional to 9,903.40, 14,855.06 and 4,971.86

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Solution

The fourth proportional to 9,903.40, 14,855.06 and 4,971.86 is: 7,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.40 : 14,855.06 = 4,971.86 : x
  2. Step 2: Convert to fraction form
    9,903.40/14,855.06 = 4,971.86/x
  3. Step 3: Cross multiply
    9,903.40x = 14,855.06 × 4,971.86
  4. Step 4: Simplify right side
    9,903.40x = 73,857,278.61
  5. Step 5: Solve for x
    x = 73,857,278.61/9,903.40
  6. Step 6: Final answer
    x = 7,457.77

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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.