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Finding the Fourth Proportional to 8,242.88, 11,378.22 and 5,585

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Solution

The fourth proportional to 8,242.88, 11,378.22 and 5,585 is: 7,709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.88 : 11,378.22 = 5,585 : x
  2. Step 2: Convert to fraction form
    8,242.88/11,378.22 = 5,585/x
  3. Step 3: Cross multiply
    8,242.88x = 11,378.22 × 5,585
  4. Step 4: Simplify right side
    8,242.88x = 63,547,358.70
  5. Step 5: Solve for x
    x = 63,547,358.70/8,242.88
  6. Step 6: Final answer
    x = 7,709.36

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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.