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Finding the Fourth Proportional to 7,124.16, 9,830.64 and 3,980.64

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Solution

The fourth proportional to 7,124.16, 9,830.64 and 3,980.64 is: 5,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.16 : 9,830.64 = 3,980.64 : x
  2. Step 2: Convert to fraction form
    7,124.16/9,830.64 = 3,980.64/x
  3. Step 3: Cross multiply
    7,124.16x = 9,830.64 × 3,980.64
  4. Step 4: Simplify right side
    7,124.16x = 39,132,238.81
  5. Step 5: Solve for x
    x = 39,132,238.81/7,124.16
  6. Step 6: Final answer
    x = 5,492.89

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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.