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Finding the Fourth Proportional to 11,316.95, 15,623.57 and 7,737.29

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Solution

The fourth proportional to 11,316.95, 15,623.57 and 7,737.29 is: 10,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.95 : 15,623.57 = 7,737.29 : x
  2. Step 2: Convert to fraction form
    11,316.95/15,623.57 = 7,737.29/x
  3. Step 3: Cross multiply
    11,316.95x = 15,623.57 × 7,737.29
  4. Step 4: Simplify right side
    11,316.95x = 120,884,013.81
  5. Step 5: Solve for x
    x = 120,884,013.81/11,316.95
  6. Step 6: Final answer
    x = 10,681.68

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1.5x scale

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.