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Finding the Fourth Proportional to 30,577.80, 45,866.70 and 9,803.40

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Solution

The fourth proportional to 30,577.80, 45,866.70 and 9,803.40 is: 14,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.80 : 45,866.70 = 9,803.40 : x
  2. Step 2: Convert to fraction form
    30,577.80/45,866.70 = 9,803.40/x
  3. Step 3: Cross multiply
    30,577.80x = 45,866.70 × 9,803.40
  4. Step 4: Simplify right side
    30,577.80x = 449,649,606.78
  5. Step 5: Solve for x
    x = 449,649,606.78/30,577.80
  6. Step 6: Final answer
    x = 14,705.10

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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.