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Finding the Fourth Proportional to 13,430.68, 18,534.06 and 7,462

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Solution

The fourth proportional to 13,430.68, 18,534.06 and 7,462 is: 10,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.68 : 18,534.06 = 7,462 : x
  2. Step 2: Convert to fraction form
    13,430.68/18,534.06 = 7,462/x
  3. Step 3: Cross multiply
    13,430.68x = 18,534.06 × 7,462
  4. Step 4: Simplify right side
    13,430.68x = 138,301,155.72
  5. Step 5: Solve for x
    x = 138,301,155.72/13,430.68
  6. Step 6: Final answer
    x = 10,297.41

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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.