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Finding the Fourth Proportional to 13,947.50, 19,248.76 and 7,661.10

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Solution

The fourth proportional to 13,947.50, 19,248.76 and 7,661.10 is: 10,572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.50 : 19,248.76 = 7,661.10 : x
  2. Step 2: Convert to fraction form
    13,947.50/19,248.76 = 7,661.10/x
  3. Step 3: Cross multiply
    13,947.50x = 19,248.76 × 7,661.10
  4. Step 4: Simplify right side
    13,947.50x = 147,466,675.24
  5. Step 5: Solve for x
    x = 147,466,675.24/13,947.50
  6. Step 6: Final answer
    x = 10,572.98

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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.