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Finding the Fourth Proportional to 9,913.87, 14,866.95 and 4,980.06

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Solution

The fourth proportional to 9,913.87, 14,866.95 and 4,980.06 is: 7,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.87 : 14,866.95 = 4,980.06 : x
  2. Step 2: Convert to fraction form
    9,913.87/14,866.95 = 4,980.06/x
  3. Step 3: Cross multiply
    9,913.87x = 14,866.95 × 4,980.06
  4. Step 4: Simplify right side
    9,913.87x = 74,038,303.02
  5. Step 5: Solve for x
    x = 74,038,303.02/9,913.87
  6. Step 6: Final answer
    x = 7,468.15

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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.