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Finding the Fourth Proportional to 14,785.60, 22,178.40 and 7,009.60

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Solution

The fourth proportional to 14,785.60, 22,178.40 and 7,009.60 is: 10,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.60 : 22,178.40 = 7,009.60 : x
  2. Step 2: Convert to fraction form
    14,785.60/22,178.40 = 7,009.60/x
  3. Step 3: Cross multiply
    14,785.60x = 22,178.40 × 7,009.60
  4. Step 4: Simplify right side
    14,785.60x = 155,461,712.64
  5. Step 5: Solve for x
    x = 155,461,712.64/14,785.60
  6. Step 6: Final answer
    x = 10,514.40

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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.