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Finding the Fourth Proportional to 10,534.65, 15,802.65 and 3,138.50

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Solution

The fourth proportional to 10,534.65, 15,802.65 and 3,138.50 is: 4,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.65 : 15,802.65 = 3,138.50 : x
  2. Step 2: Convert to fraction form
    10,534.65/15,802.65 = 3,138.50/x
  3. Step 3: Cross multiply
    10,534.65x = 15,802.65 × 3,138.50
  4. Step 4: Simplify right side
    10,534.65x = 49,596,538.01
  5. Step 5: Solve for x
    x = 49,596,538.01/10,534.65
  6. Step 6: Final answer
    x = 4,707.94

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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.