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Finding the Fourth Proportional to 30,454.76, 45,670.76 and 10,458.57

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Solution

The fourth proportional to 30,454.76, 45,670.76 and 10,458.57 is: 15,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454.76 : 45,670.76 = 10,458.57 : x
  2. Step 2: Convert to fraction form
    30,454.76/45,670.76 = 10,458.57/x
  3. Step 3: Cross multiply
    30,454.76x = 45,670.76 × 10,458.57
  4. Step 4: Simplify right side
    30,454.76x = 477,650,788.12
  5. Step 5: Solve for x
    x = 477,650,788.12/30,454.76
  6. Step 6: Final answer
    x = 15,683.95

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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.