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Finding the Fourth Proportional to 10,051.39, 13,871.13 and 5,574.99

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Solution

The fourth proportional to 10,051.39, 13,871.13 and 5,574.99 is: 7,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.39 : 13,871.13 = 5,574.99 : x
  2. Step 2: Convert to fraction form
    10,051.39/13,871.13 = 5,574.99/x
  3. Step 3: Cross multiply
    10,051.39x = 13,871.13 × 5,574.99
  4. Step 4: Simplify right side
    10,051.39x = 77,331,411.04
  5. Step 5: Solve for x
    x = 77,331,411.04/10,051.39
  6. Step 6: Final answer
    x = 7,693.60

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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.