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Finding the Fourth Proportional to 9,509.95, 13,117.50 and 5,730.56

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Solution

The fourth proportional to 9,509.95, 13,117.50 and 5,730.56 is: 7,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.95 : 13,117.50 = 5,730.56 : x
  2. Step 2: Convert to fraction form
    9,509.95/13,117.50 = 5,730.56/x
  3. Step 3: Cross multiply
    9,509.95x = 13,117.50 × 5,730.56
  4. Step 4: Simplify right side
    9,509.95x = 75,170,555.21
  5. Step 5: Solve for x
    x = 75,170,555.21/9,509.95
  6. Step 6: Final answer
    x = 7,904.41

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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.