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Finding the Fourth Proportional to 7,160, 9,877.44 and 5,065.28

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Solution

The fourth proportional to 7,160, 9,877.44 and 5,065.28 is: 6,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160 : 9,877.44 = 5,065.28 : x
  2. Step 2: Convert to fraction form
    7,160/9,877.44 = 5,065.28/x
  3. Step 3: Cross multiply
    7,160x = 9,877.44 × 5,065.28
  4. Step 4: Simplify right side
    7,160x = 50,031,999.28
  5. Step 5: Solve for x
    x = 50,031,999.28/7,160
  6. Step 6: Final answer
    x = 6,987.71

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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.