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Finding the Fourth Proportional to 7,547, 11,312.28 and 6,448.04

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Solution

The fourth proportional to 7,547, 11,312.28 and 6,448.04 is: 9,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547 : 11,312.28 = 6,448.04 : x
  2. Step 2: Convert to fraction form
    7,547/11,312.28 = 6,448.04/x
  3. Step 3: Cross multiply
    7,547x = 11,312.28 × 6,448.04
  4. Step 4: Simplify right side
    7,547x = 72,942,033.93
  5. Step 5: Solve for x
    x = 72,942,033.93/7,547
  6. Step 6: Final answer
    x = 9,665.04

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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.