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Finding the Fourth Proportional to 15,678.76, 21,637.40 and 9,391

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Solution

The fourth proportional to 15,678.76, 21,637.40 and 9,391 is: 12,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.76 : 21,637.40 = 9,391 : x
  2. Step 2: Convert to fraction form
    15,678.76/21,637.40 = 9,391/x
  3. Step 3: Cross multiply
    15,678.76x = 21,637.40 × 9,391
  4. Step 4: Simplify right side
    15,678.76x = 203,196,823.40
  5. Step 5: Solve for x
    x = 203,196,823.40/15,678.76
  6. Step 6: Final answer
    x = 12,960.01

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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.