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Finding the Fourth Proportional to 7,776, 10,727.18 and 5,258.99

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Solution

The fourth proportional to 7,776, 10,727.18 and 5,258.99 is: 7,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 10,727.18 = 5,258.99 : x
  2. Step 2: Convert to fraction form
    7,776/10,727.18 = 5,258.99/x
  3. Step 3: Cross multiply
    7,776x = 10,727.18 × 5,258.99
  4. Step 4: Simplify right side
    7,776x = 56,414,182.17
  5. Step 5: Solve for x
    x = 56,414,182.17/7,776
  6. Step 6: Final answer
    x = 7,254.91

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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.