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Finding the Fourth Proportional to 10,130.92, 13,988.07 and 6,547.99

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Solution

The fourth proportional to 10,130.92, 13,988.07 and 6,547.99 is: 9,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.92 : 13,988.07 = 6,547.99 : x
  2. Step 2: Convert to fraction form
    10,130.92/13,988.07 = 6,547.99/x
  3. Step 3: Cross multiply
    10,130.92x = 13,988.07 × 6,547.99
  4. Step 4: Simplify right side
    10,130.92x = 91,593,777.45
  5. Step 5: Solve for x
    x = 91,593,777.45/10,130.92
  6. Step 6: Final answer
    x = 9,041.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.