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Finding the Fourth Proportional to 9,756, 13,459.38 and 5,775.66

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Solution

The fourth proportional to 9,756, 13,459.38 and 5,775.66 is: 7,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 13,459.38 = 5,775.66 : x
  2. Step 2: Convert to fraction form
    9,756/13,459.38 = 5,775.66/x
  3. Step 3: Cross multiply
    9,756x = 13,459.38 × 5,775.66
  4. Step 4: Simplify right side
    9,756x = 77,736,802.69
  5. Step 5: Solve for x
    x = 77,736,802.69/9,756
  6. Step 6: Final answer
    x = 7,968.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.