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Finding the Fourth Proportional to 10,143, 15,216.42 and 4,671

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Solution

The fourth proportional to 10,143, 15,216.42 and 4,671 is: 7,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143 : 15,216.42 = 4,671 : x
  2. Step 2: Convert to fraction form
    10,143/15,216.42 = 4,671/x
  3. Step 3: Cross multiply
    10,143x = 15,216.42 × 4,671
  4. Step 4: Simplify right side
    10,143x = 71,075,897.82
  5. Step 5: Solve for x
    x = 71,075,897.82/10,143
  6. Step 6: Final answer
    x = 7,007.38

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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.