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Finding the Fourth Proportional to 23,135.60, 34,703.40 and 9,978.80

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Solution

The fourth proportional to 23,135.60, 34,703.40 and 9,978.80 is: 14,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.60 : 34,703.40 = 9,978.80 : x
  2. Step 2: Convert to fraction form
    23,135.60/34,703.40 = 9,978.80/x
  3. Step 3: Cross multiply
    23,135.60x = 34,703.40 × 9,978.80
  4. Step 4: Simplify right side
    23,135.60x = 346,298,287.92
  5. Step 5: Solve for x
    x = 346,298,287.92/23,135.60
  6. Step 6: Final answer
    x = 14,968.20

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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.