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Finding the Fourth Proportional to 30,366.47, 45,549.61 and 10,645

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Solution

The fourth proportional to 30,366.47, 45,549.61 and 10,645 is: 15,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,366.47 : 45,549.61 = 10,645 : x
  2. Step 2: Convert to fraction form
    30,366.47/45,549.61 = 10,645/x
  3. Step 3: Cross multiply
    30,366.47x = 45,549.61 × 10,645
  4. Step 4: Simplify right side
    30,366.47x = 484,875,598.45
  5. Step 5: Solve for x
    x = 484,875,598.45/30,366.47
  6. Step 6: Final answer
    x = 15,967.47

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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.