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Finding the Fourth Proportional to 12,970, 17,897.53 and 7,302.94

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Solution

The fourth proportional to 12,970, 17,897.53 and 7,302.94 is: 10,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970 : 17,897.53 = 7,302.94 : x
  2. Step 2: Convert to fraction form
    12,970/17,897.53 = 7,302.94/x
  3. Step 3: Cross multiply
    12,970x = 17,897.53 × 7,302.94
  4. Step 4: Simplify right side
    12,970x = 130,704,587.74
  5. Step 5: Solve for x
    x = 130,704,587.74/12,970
  6. Step 6: Final answer
    x = 10,077.45

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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.