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Finding the Fourth Proportional to 30,748, 46,122 and 9,971.50

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Solution

The fourth proportional to 30,748, 46,122 and 9,971.50 is: 14,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748 : 46,122 = 9,971.50 : x
  2. Step 2: Convert to fraction form
    30,748/46,122 = 9,971.50/x
  3. Step 3: Cross multiply
    30,748x = 46,122 × 9,971.50
  4. Step 4: Simplify right side
    30,748x = 459,905,523
  5. Step 5: Solve for x
    x = 459,905,523/30,748
  6. Step 6: Final answer
    x = 14,957.25

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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.