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Finding the Fourth Proportional to 6,984.95, 10,484.32 and 5,130.86

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Solution

The fourth proportional to 6,984.95, 10,484.32 and 5,130.86 is: 7,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.95 : 10,484.32 = 5,130.86 : x
  2. Step 2: Convert to fraction form
    6,984.95/10,484.32 = 5,130.86/x
  3. Step 3: Cross multiply
    6,984.95x = 10,484.32 × 5,130.86
  4. Step 4: Simplify right side
    6,984.95x = 53,793,591.50
  5. Step 5: Solve for x
    x = 53,793,591.50/6,984.95
  6. Step 6: Final answer
    x = 7,701.35

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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.