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Finding the Fourth Proportional to 13,980.16, 20,970.40 and 4,746.88

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Solution

The fourth proportional to 13,980.16, 20,970.40 and 4,746.88 is: 7,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.16 : 20,970.40 = 4,746.88 : x
  2. Step 2: Convert to fraction form
    13,980.16/20,970.40 = 4,746.88/x
  3. Step 3: Cross multiply
    13,980.16x = 20,970.40 × 4,746.88
  4. Step 4: Simplify right side
    13,980.16x = 99,543,972.35
  5. Step 5: Solve for x
    x = 99,543,972.35/13,980.16
  6. Step 6: Final answer
    x = 7,120.37

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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.