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Finding the Fourth Proportional to 10,353.24, 15,482.16 and 7,689.86

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Solution

The fourth proportional to 10,353.24, 15,482.16 and 7,689.86 is: 11,499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.24 : 15,482.16 = 7,689.86 : x
  2. Step 2: Convert to fraction form
    10,353.24/15,482.16 = 7,689.86/x
  3. Step 3: Cross multiply
    10,353.24x = 15,482.16 × 7,689.86
  4. Step 4: Simplify right side
    10,353.24x = 119,055,565.49
  5. Step 5: Solve for x
    x = 119,055,565.49/10,353.24
  6. Step 6: Final answer
    x = 11,499.35

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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.