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Finding the Fourth Proportional to 7,145.69, 10,700.07 and 4,931.35

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Solution

The fourth proportional to 7,145.69, 10,700.07 and 4,931.35 is: 7,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.69 : 10,700.07 = 4,931.35 : x
  2. Step 2: Convert to fraction form
    7,145.69/10,700.07 = 4,931.35/x
  3. Step 3: Cross multiply
    7,145.69x = 10,700.07 × 4,931.35
  4. Step 4: Simplify right side
    7,145.69x = 52,765,744.95
  5. Step 5: Solve for x
    x = 52,765,744.95/7,145.69
  6. Step 6: Final answer
    x = 7,384.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.