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Finding the Fourth Proportional to 8,436.29, 11,646 and 4,898.81

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Solution

The fourth proportional to 8,436.29, 11,646 and 4,898.81 is: 6,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.29 : 11,646 = 4,898.81 : x
  2. Step 2: Convert to fraction form
    8,436.29/11,646 = 4,898.81/x
  3. Step 3: Cross multiply
    8,436.29x = 11,646 × 4,898.81
  4. Step 4: Simplify right side
    8,436.29x = 57,051,570.38
  5. Step 5: Solve for x
    x = 57,051,570.38/8,436.29
  6. Step 6: Final answer
    x = 6,762.64

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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.