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Finding the Fourth Proportional to 15,155.60, 22,674 and 9,971.60

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Solution

The fourth proportional to 15,155.60, 22,674 and 9,971.60 is: 14,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,155.60 : 22,674 = 9,971.60 : x
  2. Step 2: Convert to fraction form
    15,155.60/22,674 = 9,971.60/x
  3. Step 3: Cross multiply
    15,155.60x = 22,674 × 9,971.60
  4. Step 4: Simplify right side
    15,155.60x = 226,096,058.40
  5. Step 5: Solve for x
    x = 226,096,058.40/15,155.60
  6. Step 6: Final answer
    x = 14,918.32

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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.