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Finding the Fourth Proportional to 9,924, 14,881.54 and 7,139

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Solution

The fourth proportional to 9,924, 14,881.54 and 7,139 is: 10,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,881.54 = 7,139 : x
  2. Step 2: Convert to fraction form
    9,924/14,881.54 = 7,139/x
  3. Step 3: Cross multiply
    9,924x = 14,881.54 × 7,139
  4. Step 4: Simplify right side
    9,924x = 106,239,314.06
  5. Step 5: Solve for x
    x = 106,239,314.06/9,924
  6. Step 6: Final answer
    x = 10,705.29

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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.