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Finding the Fourth Proportional to 7,117.65, 9,875.97 and 6,913.53

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Solution

The fourth proportional to 7,117.65, 9,875.97 and 6,913.53 is: 9,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.65 : 9,875.97 = 6,913.53 : x
  2. Step 2: Convert to fraction form
    7,117.65/9,875.97 = 6,913.53/x
  3. Step 3: Cross multiply
    7,117.65x = 9,875.97 × 6,913.53
  4. Step 4: Simplify right side
    7,117.65x = 68,277,814.87
  5. Step 5: Solve for x
    x = 68,277,814.87/7,117.65
  6. Step 6: Final answer
    x = 9,592.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.