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Finding the Fourth Proportional to 37,681, 56,521.50 and 9,979

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Solution

The fourth proportional to 37,681, 56,521.50 and 9,979 is: 14,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681 : 56,521.50 = 9,979 : x
  2. Step 2: Convert to fraction form
    37,681/56,521.50 = 9,979/x
  3. Step 3: Cross multiply
    37,681x = 56,521.50 × 9,979
  4. Step 4: Simplify right side
    37,681x = 564,028,048.50
  5. Step 5: Solve for x
    x = 564,028,048.50/37,681
  6. Step 6: Final answer
    x = 14,968.50

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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.