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Finding the Fourth Proportional to 7,875,978.76, 10,871,253.57 and 4,569,108.40

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Solution

The fourth proportional to 7,875,978.76, 10,871,253.57 and 4,569,108.40 is: 6,306,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875,978.76 : 10,871,253.57 = 4,569,108.40 : x
  2. Step 2: Convert to fraction form
    7,875,978.76/10,871,253.57 = 4,569,108.40/x
  3. Step 3: Cross multiply
    7,875,978.76x = 10,871,253.57 × 4,569,108.40
  4. Step 4: Simplify right side
    7,875,978.76x = 49,671,936,005,216.99
  5. Step 5: Solve for x
    x = 49,671,936,005,216.99/7,875,978.76
  6. Step 6: Final answer
    x = 6,306,763.58

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Why These Related Problems?

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