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Finding the Fourth Proportional to 8,862.16, 12,223.56 and 7,618

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Solution

The fourth proportional to 8,862.16, 12,223.56 and 7,618 is: 10,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,862.16 : 12,223.56 = 7,618 : x
  2. Step 2: Convert to fraction form
    8,862.16/12,223.56 = 7,618/x
  3. Step 3: Cross multiply
    8,862.16x = 12,223.56 × 7,618
  4. Step 4: Simplify right side
    8,862.16x = 93,119,080.08
  5. Step 5: Solve for x
    x = 93,119,080.08/8,862.16
  6. Step 6: Final answer
    x = 10,507.49

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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.