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Finding the Fourth Proportional to 14,242.65, 19,657.11 and 7,955.02

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Solution

The fourth proportional to 14,242.65, 19,657.11 and 7,955.02 is: 10,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.65 : 19,657.11 = 7,955.02 : x
  2. Step 2: Convert to fraction form
    14,242.65/19,657.11 = 7,955.02/x
  3. Step 3: Cross multiply
    14,242.65x = 19,657.11 × 7,955.02
  4. Step 4: Simplify right side
    14,242.65x = 156,372,703.19
  5. Step 5: Solve for x
    x = 156,372,703.19/14,242.65
  6. Step 6: Final answer
    x = 10,979.19

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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.