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Finding the Fourth Proportional to 15,666.28, 23,499.42 and 7,869.63

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Solution

The fourth proportional to 15,666.28, 23,499.42 and 7,869.63 is: 11,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.28 : 23,499.42 = 7,869.63 : x
  2. Step 2: Convert to fraction form
    15,666.28/23,499.42 = 7,869.63/x
  3. Step 3: Cross multiply
    15,666.28x = 23,499.42 × 7,869.63
  4. Step 4: Simplify right side
    15,666.28x = 184,931,740.61
  5. Step 5: Solve for x
    x = 184,931,740.61/15,666.28
  6. Step 6: Final answer
    x = 11,804.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.