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Finding the Fourth Proportional to 10,714.71, 14,779.84 and 7,080.77

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Solution

The fourth proportional to 10,714.71, 14,779.84 and 7,080.77 is: 9,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.71 : 14,779.84 = 7,080.77 : x
  2. Step 2: Convert to fraction form
    10,714.71/14,779.84 = 7,080.77/x
  3. Step 3: Cross multiply
    10,714.71x = 14,779.84 × 7,080.77
  4. Step 4: Simplify right side
    10,714.71x = 104,652,616.98
  5. Step 5: Solve for x
    x = 104,652,616.98/10,714.71
  6. Step 6: Final answer
    x = 9,767.20

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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.