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Finding the Fourth Proportional to 10,985.40, 16,478.10 and 7,094.20

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Solution

The fourth proportional to 10,985.40, 16,478.10 and 7,094.20 is: 10,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.40 : 16,478.10 = 7,094.20 : x
  2. Step 2: Convert to fraction form
    10,985.40/16,478.10 = 7,094.20/x
  3. Step 3: Cross multiply
    10,985.40x = 16,478.10 × 7,094.20
  4. Step 4: Simplify right side
    10,985.40x = 116,898,937.02
  5. Step 5: Solve for x
    x = 116,898,937.02/10,985.40
  6. Step 6: Final answer
    x = 10,641.30

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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.