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Finding the Fourth Proportional to 11,570, 15,968.76 and 6,602

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Solution

The fourth proportional to 11,570, 15,968.76 and 6,602 is: 9,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570 : 15,968.76 = 6,602 : x
  2. Step 2: Convert to fraction form
    11,570/15,968.76 = 6,602/x
  3. Step 3: Cross multiply
    11,570x = 15,968.76 × 6,602
  4. Step 4: Simplify right side
    11,570x = 105,425,753.52
  5. Step 5: Solve for x
    x = 105,425,753.52/11,570
  6. Step 6: Final answer
    x = 9,111.99

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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.