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Finding the Fourth Proportional to 5,705.85, 8,547.15 and 4,655.40

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Solution

The fourth proportional to 5,705.85, 8,547.15 and 4,655.40 is: 6,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.85 : 8,547.15 = 4,655.40 : x
  2. Step 2: Convert to fraction form
    5,705.85/8,547.15 = 4,655.40/x
  3. Step 3: Cross multiply
    5,705.85x = 8,547.15 × 4,655.40
  4. Step 4: Simplify right side
    5,705.85x = 39,790,402.11
  5. Step 5: Solve for x
    x = 39,790,402.11/5,705.85
  6. Step 6: Final answer
    x = 6,973.62

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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.