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Finding the Fourth Proportional to 10,960, 15,137.76 and 7,417.06

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Solution

The fourth proportional to 10,960, 15,137.76 and 7,417.06 is: 10,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960 : 15,137.76 = 7,417.06 : x
  2. Step 2: Convert to fraction form
    10,960/15,137.76 = 7,417.06/x
  3. Step 3: Cross multiply
    10,960x = 15,137.76 × 7,417.06
  4. Step 4: Simplify right side
    10,960x = 112,277,674.19
  5. Step 5: Solve for x
    x = 112,277,674.19/10,960
  6. Step 6: Final answer
    x = 10,244.31

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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.