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Finding the Fourth Proportional to 9,646.74, 13,312.11 and 5,455.06

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Solution

The fourth proportional to 9,646.74, 13,312.11 and 5,455.06 is: 7,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.74 : 13,312.11 = 5,455.06 : x
  2. Step 2: Convert to fraction form
    9,646.74/13,312.11 = 5,455.06/x
  3. Step 3: Cross multiply
    9,646.74x = 13,312.11 × 5,455.06
  4. Step 4: Simplify right side
    9,646.74x = 72,618,358.78
  5. Step 5: Solve for x
    x = 72,618,358.78/9,646.74
  6. Step 6: Final answer
    x = 7,527.76

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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.