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Finding the Fourth Proportional to 37,320, 55,981.08 and 9,618

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Solution

The fourth proportional to 37,320, 55,981.08 and 9,618 is: 14,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,320 : 55,981.08 = 9,618 : x
  2. Step 2: Convert to fraction form
    37,320/55,981.08 = 9,618/x
  3. Step 3: Cross multiply
    37,320x = 55,981.08 × 9,618
  4. Step 4: Simplify right side
    37,320x = 538,426,027.44
  5. Step 5: Solve for x
    x = 538,426,027.44/37,320
  6. Step 6: Final answer
    x = 14,427.28

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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.