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Finding the Fourth Proportional to 12,289.60, 18,434.40 and 7,089.40

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Solution

The fourth proportional to 12,289.60, 18,434.40 and 7,089.40 is: 10,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.60 : 18,434.40 = 7,089.40 : x
  2. Step 2: Convert to fraction form
    12,289.60/18,434.40 = 7,089.40/x
  3. Step 3: Cross multiply
    12,289.60x = 18,434.40 × 7,089.40
  4. Step 4: Simplify right side
    12,289.60x = 130,688,835.36
  5. Step 5: Solve for x
    x = 130,688,835.36/12,289.60
  6. Step 6: Final answer
    x = 10,634.10

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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.