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Finding the Fourth Proportional to 9,985.68, 14,980.68 and 3,060

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Solution

The fourth proportional to 9,985.68, 14,980.68 and 3,060 is: 4,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.68 : 14,980.68 = 3,060 : x
  2. Step 2: Convert to fraction form
    9,985.68/14,980.68 = 3,060/x
  3. Step 3: Cross multiply
    9,985.68x = 14,980.68 × 3,060
  4. Step 4: Simplify right side
    9,985.68x = 45,840,880.80
  5. Step 5: Solve for x
    x = 45,840,880.80/9,985.68
  6. Step 6: Final answer
    x = 4,590.66

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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.