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Finding the Fourth Proportional to 15,301.64, 21,116.48 and 9,014

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Solution

The fourth proportional to 15,301.64, 21,116.48 and 9,014 is: 12,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,301.64 : 21,116.48 = 9,014 : x
  2. Step 2: Convert to fraction form
    15,301.64/21,116.48 = 9,014/x
  3. Step 3: Cross multiply
    15,301.64x = 21,116.48 × 9,014
  4. Step 4: Simplify right side
    15,301.64x = 190,343,950.72
  5. Step 5: Solve for x
    x = 190,343,950.72/15,301.64
  6. Step 6: Final answer
    x = 12,439.45

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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.