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Finding the Fourth Proportional to 30,488.68, 45,731.64 and 11,765.28

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Solution

The fourth proportional to 30,488.68, 45,731.64 and 11,765.28 is: 17,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.68 : 45,731.64 = 11,765.28 : x
  2. Step 2: Convert to fraction form
    30,488.68/45,731.64 = 11,765.28/x
  3. Step 3: Cross multiply
    30,488.68x = 45,731.64 × 11,765.28
  4. Step 4: Simplify right side
    30,488.68x = 538,045,549.46
  5. Step 5: Solve for x
    x = 538,045,549.46/30,488.68
  6. Step 6: Final answer
    x = 17,647.39

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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.