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Finding the Fourth Proportional to 14,319.32, 21,478.96 and 7,758.32

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Solution

The fourth proportional to 14,319.32, 21,478.96 and 7,758.32 is: 11,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.32 : 21,478.96 = 7,758.32 : x
  2. Step 2: Convert to fraction form
    14,319.32/21,478.96 = 7,758.32/x
  3. Step 3: Cross multiply
    14,319.32x = 21,478.96 × 7,758.32
  4. Step 4: Simplify right side
    14,319.32x = 166,640,518.16
  5. Step 5: Solve for x
    x = 166,640,518.16/14,319.32
  6. Step 6: Final answer
    x = 11,637.46

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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.