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Finding the Fourth Proportional to 12,655.68, 17,462.18 and 7,347.76

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Solution

The fourth proportional to 12,655.68, 17,462.18 and 7,347.76 is: 10,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.68 : 17,462.18 = 7,347.76 : x
  2. Step 2: Convert to fraction form
    12,655.68/17,462.18 = 7,347.76/x
  3. Step 3: Cross multiply
    12,655.68x = 17,462.18 × 7,347.76
  4. Step 4: Simplify right side
    12,655.68x = 128,307,907.72
  5. Step 5: Solve for x
    x = 128,307,907.72/12,655.68
  6. Step 6: Final answer
    x = 10,138.37

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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.