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Finding the Fourth Proportional to 7,762.86, 10,712.66 and 4,405.77

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Solution

The fourth proportional to 7,762.86, 10,712.66 and 4,405.77 is: 6,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.86 : 10,712.66 = 4,405.77 : x
  2. Step 2: Convert to fraction form
    7,762.86/10,712.66 = 4,405.77/x
  3. Step 3: Cross multiply
    7,762.86x = 10,712.66 × 4,405.77
  4. Step 4: Simplify right side
    7,762.86x = 47,197,494.02
  5. Step 5: Solve for x
    x = 47,197,494.02/7,762.86
  6. Step 6: Final answer
    x = 6,079.91

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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.