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Finding the Fourth Proportional to 6,647.12, 9,970.95 and 2,948.66

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Solution

The fourth proportional to 6,647.12, 9,970.95 and 2,948.66 is: 4,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.12 : 9,970.95 = 2,948.66 : x
  2. Step 2: Convert to fraction form
    6,647.12/9,970.95 = 2,948.66/x
  3. Step 3: Cross multiply
    6,647.12x = 9,970.95 × 2,948.66
  4. Step 4: Simplify right side
    6,647.12x = 29,400,941.43
  5. Step 5: Solve for x
    x = 29,400,941.43/6,647.12
  6. Step 6: Final answer
    x = 4,423.11

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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.