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Finding the Fourth Proportional to 9,646.59, 13,312.94 and 5,398.03

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Solution

The fourth proportional to 9,646.59, 13,312.94 and 5,398.03 is: 7,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.59 : 13,312.94 = 5,398.03 : x
  2. Step 2: Convert to fraction form
    9,646.59/13,312.94 = 5,398.03/x
  3. Step 3: Cross multiply
    9,646.59x = 13,312.94 × 5,398.03
  4. Step 4: Simplify right side
    9,646.59x = 71,863,649.51
  5. Step 5: Solve for x
    x = 71,863,649.51/9,646.59
  6. Step 6: Final answer
    x = 7,449.64

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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.