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Finding the Fourth Proportional to 10,687.44, 14,752.78 and 9,566.40

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Solution

The fourth proportional to 10,687.44, 14,752.78 and 9,566.40 is: 13,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.44 : 14,752.78 = 9,566.40 : x
  2. Step 2: Convert to fraction form
    10,687.44/14,752.78 = 9,566.40/x
  3. Step 3: Cross multiply
    10,687.44x = 14,752.78 × 9,566.40
  4. Step 4: Simplify right side
    10,687.44x = 141,130,994.59
  5. Step 5: Solve for x
    x = 141,130,994.59/10,687.44
  6. Step 6: Final answer
    x = 13,205.31

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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.