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Finding the Fourth Proportional to 20,713.60, 31,077.60 and 9,030.40

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Solution

The fourth proportional to 20,713.60, 31,077.60 and 9,030.40 is: 13,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.60 : 31,077.60 = 9,030.40 : x
  2. Step 2: Convert to fraction form
    20,713.60/31,077.60 = 9,030.40/x
  3. Step 3: Cross multiply
    20,713.60x = 31,077.60 × 9,030.40
  4. Step 4: Simplify right side
    20,713.60x = 280,643,159.04
  5. Step 5: Solve for x
    x = 280,643,159.04/20,713.60
  6. Step 6: Final answer
    x = 13,548.74

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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.