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Finding the Fourth Proportional to 10,786, 14,886.12 and 7,062.16

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Solution

The fourth proportional to 10,786, 14,886.12 and 7,062.16 is: 9,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786 : 14,886.12 = 7,062.16 : x
  2. Step 2: Convert to fraction form
    10,786/14,886.12 = 7,062.16/x
  3. Step 3: Cross multiply
    10,786x = 14,886.12 × 7,062.16
  4. Step 4: Simplify right side
    10,786x = 105,128,161.22
  5. Step 5: Solve for x
    x = 105,128,161.22/10,786
  6. Step 6: Final answer
    x = 9,746.72

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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.