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Finding the Fourth Proportional to 15,234, 21,025.35 and 8,945.16

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Solution

The fourth proportional to 15,234, 21,025.35 and 8,945.16 is: 12,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234 : 21,025.35 = 8,945.16 : x
  2. Step 2: Convert to fraction form
    15,234/21,025.35 = 8,945.16/x
  3. Step 3: Cross multiply
    15,234x = 21,025.35 × 8,945.16
  4. Step 4: Simplify right side
    15,234x = 188,075,119.81
  5. Step 5: Solve for x
    x = 188,075,119.81/15,234
  6. Step 6: Final answer
    x = 12,345.75

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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.