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Finding the Fourth Proportional to 14,587, 20,130.18 and 7,963

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Solution

The fourth proportional to 14,587, 20,130.18 and 7,963 is: 10,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587 : 20,130.18 = 7,963 : x
  2. Step 2: Convert to fraction form
    14,587/20,130.18 = 7,963/x
  3. Step 3: Cross multiply
    14,587x = 20,130.18 × 7,963
  4. Step 4: Simplify right side
    14,587x = 160,296,623.34
  5. Step 5: Solve for x
    x = 160,296,623.34/14,587
  6. Step 6: Final answer
    x = 10,989.01

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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.