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Finding the Fourth Proportional to 7,700.34, 10,616.84 and 6,426.06

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Solution

The fourth proportional to 7,700.34, 10,616.84 and 6,426.06 is: 8,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.34 : 10,616.84 = 6,426.06 : x
  2. Step 2: Convert to fraction form
    7,700.34/10,616.84 = 6,426.06/x
  3. Step 3: Cross multiply
    7,700.34x = 10,616.84 × 6,426.06
  4. Step 4: Simplify right side
    7,700.34x = 68,224,427.10
  5. Step 5: Solve for x
    x = 68,224,427.10/7,700.34
  6. Step 6: Final answer
    x = 8,859.92

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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.