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Finding the Fourth Proportional to 10,590, 14,614.56 and 6,870.48

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Solution

The fourth proportional to 10,590, 14,614.56 and 6,870.48 is: 9,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 14,614.56 = 6,870.48 : x
  2. Step 2: Convert to fraction form
    10,590/14,614.56 = 6,870.48/x
  3. Step 3: Cross multiply
    10,590x = 14,614.56 × 6,870.48
  4. Step 4: Simplify right side
    10,590x = 100,409,042.19
  5. Step 5: Solve for x
    x = 100,409,042.19/10,590
  6. Step 6: Final answer
    x = 9,481.50

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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.