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Finding the Fourth Proportional to 15,810, 23,718.12 and 7,040.40

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Solution

The fourth proportional to 15,810, 23,718.12 and 7,040.40 is: 10,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810 : 23,718.12 = 7,040.40 : x
  2. Step 2: Convert to fraction form
    15,810/23,718.12 = 7,040.40/x
  3. Step 3: Cross multiply
    15,810x = 23,718.12 × 7,040.40
  4. Step 4: Simplify right side
    15,810x = 166,985,052.05
  5. Step 5: Solve for x
    x = 166,985,052.05/15,810
  6. Step 6: Final answer
    x = 10,561.99

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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.