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Finding the Fourth Proportional to 10,670, 14,701.28 and 7,970

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Solution

The fourth proportional to 10,670, 14,701.28 and 7,970 is: 10,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670 : 14,701.28 = 7,970 : x
  2. Step 2: Convert to fraction form
    10,670/14,701.28 = 7,970/x
  3. Step 3: Cross multiply
    10,670x = 14,701.28 × 7,970
  4. Step 4: Simplify right side
    10,670x = 117,169,201.60
  5. Step 5: Solve for x
    x = 117,169,201.60/10,670
  6. Step 6: Final answer
    x = 10,981.18

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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.