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Finding the Fourth Proportional to 10,458, 15,688.36 and 5,527.82

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Solution

The fourth proportional to 10,458, 15,688.36 and 5,527.82 is: 8,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458 : 15,688.36 = 5,527.82 : x
  2. Step 2: Convert to fraction form
    10,458/15,688.36 = 5,527.82/x
  3. Step 3: Cross multiply
    10,458x = 15,688.36 × 5,527.82
  4. Step 4: Simplify right side
    10,458x = 86,722,430.18
  5. Step 5: Solve for x
    x = 86,722,430.18/10,458
  6. Step 6: Final answer
    x = 8,292.45

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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.