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Finding the Fourth Proportional to 10,349.84, 14,299.48 and 7,220

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Solution

The fourth proportional to 10,349.84, 14,299.48 and 7,220 is: 9,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.84 : 14,299.48 = 7,220 : x
  2. Step 2: Convert to fraction form
    10,349.84/14,299.48 = 7,220/x
  3. Step 3: Cross multiply
    10,349.84x = 14,299.48 × 7,220
  4. Step 4: Simplify right side
    10,349.84x = 103,242,245.60
  5. Step 5: Solve for x
    x = 103,242,245.60/10,349.84
  6. Step 6: Final answer
    x = 9,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.