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Finding the Fourth Proportional to 30,501.84, 45,743.40 and 11,780.40

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Solution

The fourth proportional to 30,501.84, 45,743.40 and 11,780.40 is: 17,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.84 : 45,743.40 = 11,780.40 : x
  2. Step 2: Convert to fraction form
    30,501.84/45,743.40 = 11,780.40/x
  3. Step 3: Cross multiply
    30,501.84x = 45,743.40 × 11,780.40
  4. Step 4: Simplify right side
    30,501.84x = 538,875,549.36
  5. Step 5: Solve for x
    x = 538,875,549.36/30,501.84
  6. Step 6: Final answer
    x = 17,666.98

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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.