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Finding the Fourth Proportional to 11,547.65, 15,935.74 and 6,242.45

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Solution

The fourth proportional to 11,547.65, 15,935.74 and 6,242.45 is: 8,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.65 : 15,935.74 = 6,242.45 : x
  2. Step 2: Convert to fraction form
    11,547.65/15,935.74 = 6,242.45/x
  3. Step 3: Cross multiply
    11,547.65x = 15,935.74 × 6,242.45
  4. Step 4: Simplify right side
    11,547.65x = 99,477,964.88
  5. Step 5: Solve for x
    x = 99,477,964.88/11,547.65
  6. Step 6: Final answer
    x = 8,614.56

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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.