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Finding the Fourth Proportional to 10,572.60, 15,848.10 and 6,187.80

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Solution

The fourth proportional to 10,572.60, 15,848.10 and 6,187.80 is: 9,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.60 : 15,848.10 = 6,187.80 : x
  2. Step 2: Convert to fraction form
    10,572.60/15,848.10 = 6,187.80/x
  3. Step 3: Cross multiply
    10,572.60x = 15,848.10 × 6,187.80
  4. Step 4: Simplify right side
    10,572.60x = 98,064,873.18
  5. Step 5: Solve for x
    x = 98,064,873.18/10,572.60
  6. Step 6: Final answer
    x = 9,275.38

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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.