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Finding the Fourth Proportional to 4,809.84, 7,215.34 and 4,547.40

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Solution

The fourth proportional to 4,809.84, 7,215.34 and 4,547.40 is: 6,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.84 : 7,215.34 = 4,547.40 : x
  2. Step 2: Convert to fraction form
    4,809.84/7,215.34 = 4,547.40/x
  3. Step 3: Cross multiply
    4,809.84x = 7,215.34 × 4,547.40
  4. Step 4: Simplify right side
    4,809.84x = 32,811,014.38
  5. Step 5: Solve for x
    x = 32,811,014.38/4,809.84
  6. Step 6: Final answer
    x = 6,821.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.