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Finding the Fourth Proportional to 30,466.71, 45,687 and 10,478.22

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Solution

The fourth proportional to 30,466.71, 45,687 and 10,478.22 is: 15,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.71 : 45,687 = 10,478.22 : x
  2. Step 2: Convert to fraction form
    30,466.71/45,687 = 10,478.22/x
  3. Step 3: Cross multiply
    30,466.71x = 45,687 × 10,478.22
  4. Step 4: Simplify right side
    30,466.71x = 478,718,437.14
  5. Step 5: Solve for x
    x = 478,718,437.14/30,466.71
  6. Step 6: Final answer
    x = 15,712.84

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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.