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Finding the Fourth Proportional to 6,547.33, 8,976.40 and 6,428.87

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Solution

The fourth proportional to 6,547.33, 8,976.40 and 6,428.87 is: 8,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.33 : 8,976.40 = 6,428.87 : x
  2. Step 2: Convert to fraction form
    6,547.33/8,976.40 = 6,428.87/x
  3. Step 3: Cross multiply
    6,547.33x = 8,976.40 × 6,428.87
  4. Step 4: Simplify right side
    6,547.33x = 57,708,047.71
  5. Step 5: Solve for x
    x = 57,708,047.71/6,547.33
  6. Step 6: Final answer
    x = 8,813.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.