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Finding the Fourth Proportional to 9,756.01, 13,459.67 and 6,400.69

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Solution

The fourth proportional to 9,756.01, 13,459.67 and 6,400.69 is: 8,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.01 : 13,459.67 = 6,400.69 : x
  2. Step 2: Convert to fraction form
    9,756.01/13,459.67 = 6,400.69/x
  3. Step 3: Cross multiply
    9,756.01x = 13,459.67 × 6,400.69
  4. Step 4: Simplify right side
    9,756.01x = 86,151,175.17
  5. Step 5: Solve for x
    x = 86,151,175.17/9,756.01
  6. Step 6: Final answer
    x = 8,830.57

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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.