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Finding the Fourth Proportional to 13,232, 18,260.16 and 7,643

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Solution

The fourth proportional to 13,232, 18,260.16 and 7,643 is: 10,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232 : 18,260.16 = 7,643 : x
  2. Step 2: Convert to fraction form
    13,232/18,260.16 = 7,643/x
  3. Step 3: Cross multiply
    13,232x = 18,260.16 × 7,643
  4. Step 4: Simplify right side
    13,232x = 139,562,402.88
  5. Step 5: Solve for x
    x = 139,562,402.88/13,232
  6. Step 6: Final answer
    x = 10,547.34

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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.