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Finding the Fourth Proportional to 30,543.84, 45,802.80 and 10,827.36

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Solution

The fourth proportional to 30,543.84, 45,802.80 and 10,827.36 is: 16,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.84 : 45,802.80 = 10,827.36 : x
  2. Step 2: Convert to fraction form
    30,543.84/45,802.80 = 10,827.36/x
  3. Step 3: Cross multiply
    30,543.84x = 45,802.80 × 10,827.36
  4. Step 4: Simplify right side
    30,543.84x = 495,923,404.61
  5. Step 5: Solve for x
    x = 495,923,404.61/30,543.84
  6. Step 6: Final answer
    x = 16,236.45

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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.