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Finding the Fourth Proportional to 10,395.80, 14,342.64 and 5,918.45

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Solution

The fourth proportional to 10,395.80, 14,342.64 and 5,918.45 is: 8,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.80 : 14,342.64 = 5,918.45 : x
  2. Step 2: Convert to fraction form
    10,395.80/14,342.64 = 5,918.45/x
  3. Step 3: Cross multiply
    10,395.80x = 14,342.64 × 5,918.45
  4. Step 4: Simplify right side
    10,395.80x = 84,886,197.71
  5. Step 5: Solve for x
    x = 84,886,197.71/10,395.80
  6. Step 6: Final answer
    x = 8,165.43

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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.