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Finding the Fourth Proportional to 7,148.88, 10,653.16 and 6,914

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Solution

The fourth proportional to 7,148.88, 10,653.16 and 6,914 is: 10,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.88 : 10,653.16 = 6,914 : x
  2. Step 2: Convert to fraction form
    7,148.88/10,653.16 = 6,914/x
  3. Step 3: Cross multiply
    7,148.88x = 10,653.16 × 6,914
  4. Step 4: Simplify right side
    7,148.88x = 73,655,948.24
  5. Step 5: Solve for x
    x = 73,655,948.24/7,148.88
  6. Step 6: Final answer
    x = 10,303.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.