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Finding the Fourth Proportional to 7,855.79, 10,830.93 and 6,434.24

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Solution

The fourth proportional to 7,855.79, 10,830.93 and 6,434.24 is: 8,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.79 : 10,830.93 = 6,434.24 : x
  2. Step 2: Convert to fraction form
    7,855.79/10,830.93 = 6,434.24/x
  3. Step 3: Cross multiply
    7,855.79x = 10,830.93 × 6,434.24
  4. Step 4: Simplify right side
    7,855.79x = 69,688,803.04
  5. Step 5: Solve for x
    x = 69,688,803.04/7,855.79
  6. Step 6: Final answer
    x = 8,871.01

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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.