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Finding the Fourth Proportional to 7,870.74, 11,807.74 and 6,581.22

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Solution

The fourth proportional to 7,870.74, 11,807.74 and 6,581.22 is: 9,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.74 : 11,807.74 = 6,581.22 : x
  2. Step 2: Convert to fraction form
    7,870.74/11,807.74 = 6,581.22/x
  3. Step 3: Cross multiply
    7,870.74x = 11,807.74 × 6,581.22
  4. Step 4: Simplify right side
    7,870.74x = 77,709,334.64
  5. Step 5: Solve for x
    x = 77,709,334.64/7,870.74
  6. Step 6: Final answer
    x = 9,873.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.