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Finding the Fourth Proportional to 9,515.61, 14,264.91 and 7,424.19

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Solution

The fourth proportional to 9,515.61, 14,264.91 and 7,424.19 is: 11,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.61 : 14,264.91 = 7,424.19 : x
  2. Step 2: Convert to fraction form
    9,515.61/14,264.91 = 7,424.19/x
  3. Step 3: Cross multiply
    9,515.61x = 14,264.91 × 7,424.19
  4. Step 4: Simplify right side
    9,515.61x = 105,905,402.17
  5. Step 5: Solve for x
    x = 105,905,402.17/9,515.61
  6. Step 6: Final answer
    x = 11,129.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.