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Finding the Fourth Proportional to 9,510.98, 13,124.61 and 5,261.80

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Solution

The fourth proportional to 9,510.98, 13,124.61 and 5,261.80 is: 7,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.98 : 13,124.61 = 5,261.80 : x
  2. Step 2: Convert to fraction form
    9,510.98/13,124.61 = 5,261.80/x
  3. Step 3: Cross multiply
    9,510.98x = 13,124.61 × 5,261.80
  4. Step 4: Simplify right side
    9,510.98x = 69,059,053.64
  5. Step 5: Solve for x
    x = 69,059,053.64/9,510.98
  6. Step 6: Final answer
    x = 7,260.98

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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.