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Finding the Fourth Proportional to 6,420.84, 9,642.24 and 3,970.14

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Solution

The fourth proportional to 6,420.84, 9,642.24 and 3,970.14 is: 5,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.84 : 9,642.24 = 3,970.14 : x
  2. Step 2: Convert to fraction form
    6,420.84/9,642.24 = 3,970.14/x
  3. Step 3: Cross multiply
    6,420.84x = 9,642.24 × 3,970.14
  4. Step 4: Simplify right side
    6,420.84x = 38,281,042.71
  5. Step 5: Solve for x
    x = 38,281,042.71/6,420.84
  6. Step 6: Final answer
    x = 5,962.00

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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.