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Finding the Fourth Proportional to 7,602.78, 10,492.13 and 4,416.04

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Solution

The fourth proportional to 7,602.78, 10,492.13 and 4,416.04 is: 6,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.78 : 10,492.13 = 4,416.04 : x
  2. Step 2: Convert to fraction form
    7,602.78/10,492.13 = 4,416.04/x
  3. Step 3: Cross multiply
    7,602.78x = 10,492.13 × 4,416.04
  4. Step 4: Simplify right side
    7,602.78x = 46,333,630.90
  5. Step 5: Solve for x
    x = 46,333,630.90/7,602.78
  6. Step 6: Final answer
    x = 6,094.30

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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.