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Finding the Fourth Proportional to 10,500.88, 15,756.81 and 9,895.81

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Solution

The fourth proportional to 10,500.88, 15,756.81 and 9,895.81 is: 14,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.88 : 15,756.81 = 9,895.81 : x
  2. Step 2: Convert to fraction form
    10,500.88/15,756.81 = 9,895.81/x
  3. Step 3: Cross multiply
    10,500.88x = 15,756.81 × 9,895.81
  4. Step 4: Simplify right side
    10,500.88x = 155,926,397.97
  5. Step 5: Solve for x
    x = 155,926,397.97/10,500.88
  6. Step 6: Final answer
    x = 14,848.89

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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.