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Finding the Fourth Proportional to 30,651.08, 45,947.40 and 9,860

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Solution

The fourth proportional to 30,651.08, 45,947.40 and 9,860 is: 14,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.08 : 45,947.40 = 9,860 : x
  2. Step 2: Convert to fraction form
    30,651.08/45,947.40 = 9,860/x
  3. Step 3: Cross multiply
    30,651.08x = 45,947.40 × 9,860
  4. Step 4: Simplify right side
    30,651.08x = 453,041,364
  5. Step 5: Solve for x
    x = 453,041,364/30,651.08
  6. Step 6: Final answer
    x = 14,780.60

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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.