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Finding the Fourth Proportional to 6,455.81, 8,909.30 and 5,056.13

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Solution

The fourth proportional to 6,455.81, 8,909.30 and 5,056.13 is: 6,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.81 : 8,909.30 = 5,056.13 : x
  2. Step 2: Convert to fraction form
    6,455.81/8,909.30 = 5,056.13/x
  3. Step 3: Cross multiply
    6,455.81x = 8,909.30 × 5,056.13
  4. Step 4: Simplify right side
    6,455.81x = 45,046,547.10
  5. Step 5: Solve for x
    x = 45,046,547.10/6,455.81
  6. Step 6: Final answer
    x = 6,977.68

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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.