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Finding the Fourth Proportional to 8,492.49, 11,707.88 and 7,070.94

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Solution

The fourth proportional to 8,492.49, 11,707.88 and 7,070.94 is: 9,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.49 : 11,707.88 = 7,070.94 : x
  2. Step 2: Convert to fraction form
    8,492.49/11,707.88 = 7,070.94/x
  3. Step 3: Cross multiply
    8,492.49x = 11,707.88 × 7,070.94
  4. Step 4: Simplify right side
    8,492.49x = 82,785,681.65
  5. Step 5: Solve for x
    x = 82,785,681.65/8,492.49
  6. Step 6: Final answer
    x = 9,748.10

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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.