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Finding the Fourth Proportional to 30,151.14, 45,225.98 and 7,966.08

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Solution

The fourth proportional to 30,151.14, 45,225.98 and 7,966.08 is: 11,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.14 : 45,225.98 = 7,966.08 : x
  2. Step 2: Convert to fraction form
    30,151.14/45,225.98 = 7,966.08/x
  3. Step 3: Cross multiply
    30,151.14x = 45,225.98 × 7,966.08
  4. Step 4: Simplify right side
    30,151.14x = 360,273,774.76
  5. Step 5: Solve for x
    x = 360,273,774.76/30,151.14
  6. Step 6: Final answer
    x = 11,948.93

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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.