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Finding the Fourth Proportional to 10,705.31, 14,739.75 and 9,721.16

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Solution

The fourth proportional to 10,705.31, 14,739.75 and 9,721.16 is: 13,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.31 : 14,739.75 = 9,721.16 : x
  2. Step 2: Convert to fraction form
    10,705.31/14,739.75 = 9,721.16/x
  3. Step 3: Cross multiply
    10,705.31x = 14,739.75 × 9,721.16
  4. Step 4: Simplify right side
    10,705.31x = 143,287,468.11
  5. Step 5: Solve for x
    x = 143,287,468.11/10,705.31
  6. Step 6: Final answer
    x = 13,384.71

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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.