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Finding the Fourth Proportional to 10,208.76, 15,292.63 and 5,127.63

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Solution

The fourth proportional to 10,208.76, 15,292.63 and 5,127.63 is: 7,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.76 : 15,292.63 = 5,127.63 : x
  2. Step 2: Convert to fraction form
    10,208.76/15,292.63 = 5,127.63/x
  3. Step 3: Cross multiply
    10,208.76x = 15,292.63 × 5,127.63
  4. Step 4: Simplify right side
    10,208.76x = 78,414,948.37
  5. Step 5: Solve for x
    x = 78,414,948.37/10,208.76
  6. Step 6: Final answer
    x = 7,681.14

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1.5x scale

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.