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Finding the Fourth Proportional to 30,428.40, 45,631.53 and 11,698.80

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Solution

The fourth proportional to 30,428.40, 45,631.53 and 11,698.80 is: 17,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,428.40 : 45,631.53 = 11,698.80 : x
  2. Step 2: Convert to fraction form
    30,428.40/45,631.53 = 11,698.80/x
  3. Step 3: Cross multiply
    30,428.40x = 45,631.53 × 11,698.80
  4. Step 4: Simplify right side
    30,428.40x = 533,834,143.16
  5. Step 5: Solve for x
    x = 533,834,143.16/30,428.40
  6. Step 6: Final answer
    x = 17,543.94

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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.