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Finding the Fourth Proportional to 10,938.70, 16,416.15 and 7,239.70

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Solution

The fourth proportional to 10,938.70, 16,416.15 and 7,239.70 is: 10,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.70 : 16,416.15 = 7,239.70 : x
  2. Step 2: Convert to fraction form
    10,938.70/16,416.15 = 7,239.70/x
  3. Step 3: Cross multiply
    10,938.70x = 16,416.15 × 7,239.70
  4. Step 4: Simplify right side
    10,938.70x = 118,848,001.16
  5. Step 5: Solve for x
    x = 118,848,001.16/10,938.70
  6. Step 6: Final answer
    x = 10,864.91

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1.5x scale

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.