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Finding the Fourth Proportional to 8,439.63, 11,642.82 and 4,902.17

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Solution

The fourth proportional to 8,439.63, 11,642.82 and 4,902.17 is: 6,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.63 : 11,642.82 = 4,902.17 : x
  2. Step 2: Convert to fraction form
    8,439.63/11,642.82 = 4,902.17/x
  3. Step 3: Cross multiply
    8,439.63x = 11,642.82 × 4,902.17
  4. Step 4: Simplify right side
    8,439.63x = 57,075,024.71
  5. Step 5: Solve for x
    x = 57,075,024.71/8,439.63
  6. Step 6: Final answer
    x = 6,762.74

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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.