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Finding the Fourth Proportional to 7,812.77, 11,717.94 and 2,547.77

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Solution

The fourth proportional to 7,812.77, 11,717.94 and 2,547.77 is: 3,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.77 : 11,717.94 = 2,547.77 : x
  2. Step 2: Convert to fraction form
    7,812.77/11,717.94 = 2,547.77/x
  3. Step 3: Cross multiply
    7,812.77x = 11,717.94 × 2,547.77
  4. Step 4: Simplify right side
    7,812.77x = 29,854,557.40
  5. Step 5: Solve for x
    x = 29,854,557.40/7,812.77
  6. Step 6: Final answer
    x = 3,821.25

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1.5x scale

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.