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Finding the Fourth Proportional to 13,875.88, 19,148.81 and 7,502.46

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Solution

The fourth proportional to 13,875.88, 19,148.81 and 7,502.46 is: 10,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.88 : 19,148.81 = 7,502.46 : x
  2. Step 2: Convert to fraction form
    13,875.88/19,148.81 = 7,502.46/x
  3. Step 3: Cross multiply
    13,875.88x = 19,148.81 × 7,502.46
  4. Step 4: Simplify right side
    13,875.88x = 143,663,181.07
  5. Step 5: Solve for x
    x = 143,663,181.07/13,875.88
  6. Step 6: Final answer
    x = 10,353.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.