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Finding the Fourth Proportional to 9,510.80, 13,125.24 and 7,148.72

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Solution

The fourth proportional to 9,510.80, 13,125.24 and 7,148.72 is: 9,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.80 : 13,125.24 = 7,148.72 : x
  2. Step 2: Convert to fraction form
    9,510.80/13,125.24 = 7,148.72/x
  3. Step 3: Cross multiply
    9,510.80x = 13,125.24 × 7,148.72
  4. Step 4: Simplify right side
    9,510.80x = 93,828,665.69
  5. Step 5: Solve for x
    x = 93,828,665.69/9,510.80
  6. Step 6: Final answer
    x = 9,865.49

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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.