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Finding the Fourth Proportional to 13,437, 18,547.92 and 7,848

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Solution

The fourth proportional to 13,437, 18,547.92 and 7,848 is: 10,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437 : 18,547.92 = 7,848 : x
  2. Step 2: Convert to fraction form
    13,437/18,547.92 = 7,848/x
  3. Step 3: Cross multiply
    13,437x = 18,547.92 × 7,848
  4. Step 4: Simplify right side
    13,437x = 145,564,076.16
  5. Step 5: Solve for x
    x = 145,564,076.16/13,437
  6. Step 6: Final answer
    x = 10,833.08

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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.