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Finding the Fourth Proportional to 9,931.05, 14,907.51 and 7,864.34

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Solution

The fourth proportional to 9,931.05, 14,907.51 and 7,864.34 is: 11,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.05 : 14,907.51 = 7,864.34 : x
  2. Step 2: Convert to fraction form
    9,931.05/14,907.51 = 7,864.34/x
  3. Step 3: Cross multiply
    9,931.05x = 14,907.51 × 7,864.34
  4. Step 4: Simplify right side
    9,931.05x = 117,237,652.66
  5. Step 5: Solve for x
    x = 117,237,652.66/9,931.05
  6. Step 6: Final answer
    x = 11,805.16

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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.