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Finding the Fourth Proportional to 7,970.64, 12,002.28 and 5,905.32

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Solution

The fourth proportional to 7,970.64, 12,002.28 and 5,905.32 is: 8,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.64 : 12,002.28 = 5,905.32 : x
  2. Step 2: Convert to fraction form
    7,970.64/12,002.28 = 5,905.32/x
  3. Step 3: Cross multiply
    7,970.64x = 12,002.28 × 5,905.32
  4. Step 4: Simplify right side
    7,970.64x = 70,877,304.13
  5. Step 5: Solve for x
    x = 70,877,304.13/7,970.64
  6. Step 6: Final answer
    x = 8,892.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.