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Finding the Fourth Proportional to 10,165.62, 14,041.96 and 7,804.77

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Solution

The fourth proportional to 10,165.62, 14,041.96 and 7,804.77 is: 10,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.62 : 14,041.96 = 7,804.77 : x
  2. Step 2: Convert to fraction form
    10,165.62/14,041.96 = 7,804.77/x
  3. Step 3: Cross multiply
    10,165.62x = 14,041.96 × 7,804.77
  4. Step 4: Simplify right side
    10,165.62x = 109,594,268.15
  5. Step 5: Solve for x
    x = 109,594,268.15/10,165.62
  6. Step 6: Final answer
    x = 10,780.87

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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.