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Finding the Fourth Proportional to 10,287.96, 15,430 and 5,017.68

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Solution

The fourth proportional to 10,287.96, 15,430 and 5,017.68 is: 7,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.96 : 15,430 = 5,017.68 : x
  2. Step 2: Convert to fraction form
    10,287.96/15,430 = 5,017.68/x
  3. Step 3: Cross multiply
    10,287.96x = 15,430 × 5,017.68
  4. Step 4: Simplify right side
    10,287.96x = 77,422,802.40
  5. Step 5: Solve for x
    x = 77,422,802.40/10,287.96
  6. Step 6: Final answer
    x = 7,525.57

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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.