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Finding the Fourth Proportional to 30,488.55, 45,721.46 and 10,492.46

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Solution

The fourth proportional to 30,488.55, 45,721.46 and 10,492.46 is: 15,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488.55 : 45,721.46 = 10,492.46 : x
  2. Step 2: Convert to fraction form
    30,488.55/45,721.46 = 10,492.46/x
  3. Step 3: Cross multiply
    30,488.55x = 45,721.46 × 10,492.46
  4. Step 4: Simplify right side
    30,488.55x = 479,730,398.53
  5. Step 5: Solve for x
    x = 479,730,398.53/30,488.55
  6. Step 6: Final answer
    x = 15,734.77

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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.