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Finding the Fourth Proportional to 7,970.64, 11,000.88 and 5,184.24

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Solution

The fourth proportional to 7,970.64, 11,000.88 and 5,184.24 is: 7,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.64 : 11,000.88 = 5,184.24 : x
  2. Step 2: Convert to fraction form
    7,970.64/11,000.88 = 5,184.24/x
  3. Step 3: Cross multiply
    7,970.64x = 11,000.88 × 5,184.24
  4. Step 4: Simplify right side
    7,970.64x = 57,031,202.13
  5. Step 5: Solve for x
    x = 57,031,202.13/7,970.64
  6. Step 6: Final answer
    x = 7,155.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.