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Finding the Fourth Proportional to 10,980.65, 15,142.93 and 7,207.09

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Solution

The fourth proportional to 10,980.65, 15,142.93 and 7,207.09 is: 9,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.65 : 15,142.93 = 7,207.09 : x
  2. Step 2: Convert to fraction form
    10,980.65/15,142.93 = 7,207.09/x
  3. Step 3: Cross multiply
    10,980.65x = 15,142.93 × 7,207.09
  4. Step 4: Simplify right side
    10,980.65x = 109,136,446.09
  5. Step 5: Solve for x
    x = 109,136,446.09/10,980.65
  6. Step 6: Final answer
    x = 9,938.98

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1.5x scale

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.