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Finding the Fourth Proportional to 10,786, 14,884.32 and 6,070

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Solution

The fourth proportional to 10,786, 14,884.32 and 6,070 is: 8,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 14,884.32 = 6,070 : x
  2. Step 2: Convert to fraction form
    10,786/14,884.32 = 6,070/x
  3. Step 3: Cross multiply
    10,786x = 14,884.32 × 6,070
  4. Step 4: Simplify right side
    10,786x = 90,347,822.40
  5. Step 5: Solve for x
    x = 90,347,822.40/10,786
  6. Step 6: Final answer
    x = 8,376.40

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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.