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Finding the Fourth Proportional to 10,386, 14,332.68 and 5,970

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Solution

The fourth proportional to 10,386, 14,332.68 and 5,970 is: 8,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386 : 14,332.68 = 5,970 : x
  2. Step 2: Convert to fraction form
    10,386/14,332.68 = 5,970/x
  3. Step 3: Cross multiply
    10,386x = 14,332.68 × 5,970
  4. Step 4: Simplify right side
    10,386x = 85,566,099.60
  5. Step 5: Solve for x
    x = 85,566,099.60/10,386
  6. Step 6: Final answer
    x = 8,238.60

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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.