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Finding the Fourth Proportional to 3,070.60, 4,606.35 and 989.92

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Solution

The fourth proportional to 3,070.60, 4,606.35 and 989.92 is: 1,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.60 : 4,606.35 = 989.92 : x
  2. Step 2: Convert to fraction form
    3,070.60/4,606.35 = 989.92/x
  3. Step 3: Cross multiply
    3,070.60x = 4,606.35 × 989.92
  4. Step 4: Simplify right side
    3,070.60x = 4,559,894.96
  5. Step 5: Solve for x
    x = 4,559,894.96/3,070.60
  6. Step 6: Final answer
    x = 1,485.02

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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.