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Finding the Fourth Proportional to 7,681.49, 10,596.30 and 5,133.63

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Solution

The fourth proportional to 7,681.49, 10,596.30 and 5,133.63 is: 7,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.49 : 10,596.30 = 5,133.63 : x
  2. Step 2: Convert to fraction form
    7,681.49/10,596.30 = 5,133.63/x
  3. Step 3: Cross multiply
    7,681.49x = 10,596.30 × 5,133.63
  4. Step 4: Simplify right side
    7,681.49x = 54,397,483.57
  5. Step 5: Solve for x
    x = 54,397,483.57/7,681.49
  6. Step 6: Final answer
    x = 7,081.64

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1.5x scale

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.