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Finding the Fourth Proportional to 12,985.20, 19,477.80 and 12,380.40

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Solution

The fourth proportional to 12,985.20, 19,477.80 and 12,380.40 is: 18,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.20 : 19,477.80 = 12,380.40 : x
  2. Step 2: Convert to fraction form
    12,985.20/19,477.80 = 12,380.40/x
  3. Step 3: Cross multiply
    12,985.20x = 19,477.80 × 12,380.40
  4. Step 4: Simplify right side
    12,985.20x = 241,142,955.12
  5. Step 5: Solve for x
    x = 241,142,955.12/12,985.20
  6. Step 6: Final answer
    x = 18,570.60

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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.